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Finding the Third Proportional to 118,442 and 175,859

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Solution

The third proportional to 118,442 and 175,859 is: 261,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,442 : 175,859 = 175,859 : x
  2. Step 2: Convert to fraction form
    118,442/175,859 = 175,859/x
  3. Step 3: Cross multiply
    118,442x = 175,859 × 175,859
  4. Step 4: Simplify right side
    118,442x = 30,926,387,881
  5. Step 5: Solve for x
    x = 30,926,387,881/118,442
  6. Step 6: Final answer
    x = 261,109.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.