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Finding the Third Proportional to 62,903.50 and 137,471

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Solution

The third proportional to 62,903.50 and 137,471 is: 300,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,903.50 : 137,471 = 137,471 : x
  2. Step 2: Convert to fraction form
    62,903.50/137,471 = 137,471/x
  3. Step 3: Cross multiply
    62,903.50x = 137,471 × 137,471
  4. Step 4: Simplify right side
    62,903.50x = 18,898,275,841
  5. Step 5: Solve for x
    x = 18,898,275,841/62,903.50
  6. Step 6: Final answer
    x = 300,432.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.