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Finding the Third Proportional to 137,922.75 and 210,893.63

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Solution

The third proportional to 137,922.75 and 210,893.63 is: 322,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,922.75 : 210,893.63 = 210,893.63 : x
  2. Step 2: Convert to fraction form
    137,922.75/210,893.63 = 210,893.63/x
  3. Step 3: Cross multiply
    137,922.75x = 210,893.63 × 210,893.63
  4. Step 4: Simplify right side
    137,922.75x = 44,476,121,065.64
  5. Step 5: Solve for x
    x = 44,476,121,065.64/137,922.75
  6. Step 6: Final answer
    x = 322,471.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.