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Finding the Third Proportional to 111,384 and 160,931

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Solution

The third proportional to 111,384 and 160,931 is: 232,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,384 : 160,931 = 160,931 : x
  2. Step 2: Convert to fraction form
    111,384/160,931 = 160,931/x
  3. Step 3: Cross multiply
    111,384x = 160,931 × 160,931
  4. Step 4: Simplify right side
    111,384x = 25,898,786,761
  5. Step 5: Solve for x
    x = 25,898,786,761/111,384
  6. Step 6: Final answer
    x = 232,518.02

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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.