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Finding the Third Proportional to 118,719 and 252,882

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Solution

The third proportional to 118,719 and 252,882 is: 538,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,719 : 252,882 = 252,882 : x
  2. Step 2: Convert to fraction form
    118,719/252,882 = 252,882/x
  3. Step 3: Cross multiply
    118,719x = 252,882 × 252,882
  4. Step 4: Simplify right side
    118,719x = 63,949,305,924
  5. Step 5: Solve for x
    x = 63,949,305,924/118,719
  6. Step 6: Final answer
    x = 538,661.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.