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Finding the Third Proportional to 109,687 and 160,376

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Solution

The third proportional to 109,687 and 160,376 is: 234,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,687 : 160,376 = 160,376 : x
  2. Step 2: Convert to fraction form
    109,687/160,376 = 160,376/x
  3. Step 3: Cross multiply
    109,687x = 160,376 × 160,376
  4. Step 4: Simplify right side
    109,687x = 25,720,461,376
  5. Step 5: Solve for x
    x = 25,720,461,376/109,687
  6. Step 6: Final answer
    x = 234,489.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.