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Finding the Third Proportional to 58,686.75 and 126,499.50

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Solution

The third proportional to 58,686.75 and 126,499.50 is: 272,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,686.75 : 126,499.50 = 126,499.50 : x
  2. Step 2: Convert to fraction form
    58,686.75/126,499.50 = 126,499.50/x
  3. Step 3: Cross multiply
    58,686.75x = 126,499.50 × 126,499.50
  4. Step 4: Simplify right side
    58,686.75x = 16,002,123,500.25
  5. Step 5: Solve for x
    x = 16,002,123,500.25/58,686.75
  6. Step 6: Final answer
    x = 272,670.13

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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.