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Finding the Third Proportional to 111,988 and 173,418

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Solution

The third proportional to 111,988 and 173,418 is: 268,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,988 : 173,418 = 173,418 : x
  2. Step 2: Convert to fraction form
    111,988/173,418 = 173,418/x
  3. Step 3: Cross multiply
    111,988x = 173,418 × 173,418
  4. Step 4: Simplify right side
    111,988x = 30,073,802,724
  5. Step 5: Solve for x
    x = 30,073,802,724/111,988
  6. Step 6: Final answer
    x = 268,544.87

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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.