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Finding the Third Proportional to 63,688.50 and 137,754

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Solution

The third proportional to 63,688.50 and 137,754 is: 297,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,688.50 : 137,754 = 137,754 : x
  2. Step 2: Convert to fraction form
    63,688.50/137,754 = 137,754/x
  3. Step 3: Cross multiply
    63,688.50x = 137,754 × 137,754
  4. Step 4: Simplify right side
    63,688.50x = 18,976,164,516
  5. Step 5: Solve for x
    x = 18,976,164,516/63,688.50
  6. Step 6: Final answer
    x = 297,952.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.