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Finding the Third Proportional to 75,241 and 99,880

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Solution

The third proportional to 75,241 and 99,880 is: 132,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,241 : 99,880 = 99,880 : x
  2. Step 2: Convert to fraction form
    75,241/99,880 = 99,880/x
  3. Step 3: Cross multiply
    75,241x = 99,880 × 99,880
  4. Step 4: Simplify right side
    75,241x = 9,976,014,400
  5. Step 5: Solve for x
    x = 9,976,014,400/75,241
  6. Step 6: Final answer
    x = 132,587.48

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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.