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Finding the Third Proportional to 113,569 and 176,349

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Solution

The third proportional to 113,569 and 176,349 is: 273,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,569 : 176,349 = 176,349 : x
  2. Step 2: Convert to fraction form
    113,569/176,349 = 176,349/x
  3. Step 3: Cross multiply
    113,569x = 176,349 × 176,349
  4. Step 4: Simplify right side
    113,569x = 31,098,969,801
  5. Step 5: Solve for x
    x = 31,098,969,801/113,569
  6. Step 6: Final answer
    x = 273,833.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.