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Finding the Third Proportional to 63,715.50 and 137,799

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Solution

The third proportional to 63,715.50 and 137,799 is: 298,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,715.50 : 137,799 = 137,799 : x
  2. Step 2: Convert to fraction form
    63,715.50/137,799 = 137,799/x
  3. Step 3: Cross multiply
    63,715.50x = 137,799 × 137,799
  4. Step 4: Simplify right side
    63,715.50x = 18,988,564,401
  5. Step 5: Solve for x
    x = 18,988,564,401/63,715.50
  6. Step 6: Final answer
    x = 298,021.12

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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.