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Finding the Third Proportional to 77,592 and 123,060

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Solution

The third proportional to 77,592 and 123,060 is: 195,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,592 : 123,060 = 123,060 : x
  2. Step 2: Convert to fraction form
    77,592/123,060 = 123,060/x
  3. Step 3: Cross multiply
    77,592x = 123,060 × 123,060
  4. Step 4: Simplify right side
    77,592x = 15,143,763,600
  5. Step 5: Solve for x
    x = 15,143,763,600/77,592
  6. Step 6: Final answer
    x = 195,171.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.