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Finding the Third Proportional to 81,344 and 119,376

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Solution

The third proportional to 81,344 and 119,376 is: 175,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,344 : 119,376 = 119,376 : x
  2. Step 2: Convert to fraction form
    81,344/119,376 = 119,376/x
  3. Step 3: Cross multiply
    81,344x = 119,376 × 119,376
  4. Step 4: Simplify right side
    81,344x = 14,250,629,376
  5. Step 5: Solve for x
    x = 14,250,629,376/81,344
  6. Step 6: Final answer
    x = 175,189.68

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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.