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Finding the Third Proportional to 83,031 and 125,411

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Solution

The third proportional to 83,031 and 125,411 is: 189,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031 : 125,411 = 125,411 : x
  2. Step 2: Convert to fraction form
    83,031/125,411 = 125,411/x
  3. Step 3: Cross multiply
    83,031x = 125,411 × 125,411
  4. Step 4: Simplify right side
    83,031x = 15,727,918,921
  5. Step 5: Solve for x
    x = 15,727,918,921/83,031
  6. Step 6: Final answer
    x = 189,422.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.