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Finding the Third Proportional to 106,922.63 and 149,484.75

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Solution

The third proportional to 106,922.63 and 149,484.75 is: 208,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,922.63 : 149,484.75 = 149,484.75 : x
  2. Step 2: Convert to fraction form
    106,922.63/149,484.75 = 149,484.75/x
  3. Step 3: Cross multiply
    106,922.63x = 149,484.75 × 149,484.75
  4. Step 4: Simplify right side
    106,922.63x = 22,345,690,482.56
  5. Step 5: Solve for x
    x = 22,345,690,482.56/106,922.63
  6. Step 6: Final answer
    x = 208,989.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.