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Finding the Third Proportional to 111,376 and 160,919

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Solution

The third proportional to 111,376 and 160,919 is: 232,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,376 : 160,919 = 160,919 : x
  2. Step 2: Convert to fraction form
    111,376/160,919 = 160,919/x
  3. Step 3: Cross multiply
    111,376x = 160,919 × 160,919
  4. Step 4: Simplify right side
    111,376x = 25,894,924,561
  5. Step 5: Solve for x
    x = 25,894,924,561/111,376
  6. Step 6: Final answer
    x = 232,500.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.