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Finding the Third Proportional to 75,239 and 99,878

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Solution

The third proportional to 75,239 and 99,878 is: 132,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,239 : 99,878 = 99,878 : x
  2. Step 2: Convert to fraction form
    75,239/99,878 = 99,878/x
  3. Step 3: Cross multiply
    75,239x = 99,878 × 99,878
  4. Step 4: Simplify right side
    75,239x = 9,975,614,884
  5. Step 5: Solve for x
    x = 9,975,614,884/75,239
  6. Step 6: Final answer
    x = 132,585.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.