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Finding the Third Proportional to 62,899.50 and 137,463

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Solution

The third proportional to 62,899.50 and 137,463 is: 300,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,899.50 : 137,463 = 137,463 : x
  2. Step 2: Convert to fraction form
    62,899.50/137,463 = 137,463/x
  3. Step 3: Cross multiply
    62,899.50x = 137,463 × 137,463
  4. Step 4: Simplify right side
    62,899.50x = 18,896,076,369
  5. Step 5: Solve for x
    x = 18,896,076,369/62,899.50
  6. Step 6: Final answer
    x = 300,416.96

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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.