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Finding the Third Proportional to 75,252.75 and 100,371

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Solution

The third proportional to 75,252.75 and 100,371 is: 133,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,252.75 : 100,371 = 100,371 : x
  2. Step 2: Convert to fraction form
    75,252.75/100,371 = 100,371/x
  3. Step 3: Cross multiply
    75,252.75x = 100,371 × 100,371
  4. Step 4: Simplify right side
    75,252.75x = 10,074,337,641
  5. Step 5: Solve for x
    x = 10,074,337,641/75,252.75
  6. Step 6: Final answer
    x = 133,873.35

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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.