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Finding the Third Proportional to 81,060 and 119,491

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Solution

The third proportional to 81,060 and 119,491 is: 176,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,060 : 119,491 = 119,491 : x
  2. Step 2: Convert to fraction form
    81,060/119,491 = 119,491/x
  3. Step 3: Cross multiply
    81,060x = 119,491 × 119,491
  4. Step 4: Simplify right side
    81,060x = 14,278,099,081
  5. Step 5: Solve for x
    x = 14,278,099,081/81,060
  6. Step 6: Final answer
    x = 176,142.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.