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Finding the Third Proportional to 137,949.75 and 210,934.13

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Solution

The third proportional to 137,949.75 and 210,934.13 is: 322,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,949.75 : 210,934.13 = 210,934.13 : x
  2. Step 2: Convert to fraction form
    137,949.75/210,934.13 = 210,934.13/x
  3. Step 3: Cross multiply
    137,949.75x = 210,934.13 × 210,934.13
  4. Step 4: Simplify right side
    137,949.75x = 44,493,205,089.52
  5. Step 5: Solve for x
    x = 44,493,205,089.52/137,949.75
  6. Step 6: Final answer
    x = 322,531.97

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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.