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Finding the Third Proportional to 81,281 and 119,566

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Solution

The third proportional to 81,281 and 119,566 is: 175,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,281 : 119,566 = 119,566 : x
  2. Step 2: Convert to fraction form
    81,281/119,566 = 119,566/x
  3. Step 3: Cross multiply
    81,281x = 119,566 × 119,566
  4. Step 4: Simplify right side
    81,281x = 14,296,028,356
  5. Step 5: Solve for x
    x = 14,296,028,356/81,281
  6. Step 6: Final answer
    x = 175,884.01

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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.