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Finding the Third Proportional to 81,110 and 119,559

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Solution

The third proportional to 81,110 and 119,559 is: 176,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,110 : 119,559 = 119,559 : x
  2. Step 2: Convert to fraction form
    81,110/119,559 = 119,559/x
  3. Step 3: Cross multiply
    81,110x = 119,559 × 119,559
  4. Step 4: Simplify right side
    81,110x = 14,294,354,481
  5. Step 5: Solve for x
    x = 14,294,354,481/81,110
  6. Step 6: Final answer
    x = 176,234.18

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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.