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Finding the Third Proportional to 82,982 and 129,657

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Solution

The third proportional to 82,982 and 129,657 is: 202,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982 : 129,657 = 129,657 : x
  2. Step 2: Convert to fraction form
    82,982/129,657 = 129,657/x
  3. Step 3: Cross multiply
    82,982x = 129,657 × 129,657
  4. Step 4: Simplify right side
    82,982x = 16,810,937,649
  5. Step 5: Solve for x
    x = 16,810,937,649/82,982
  6. Step 6: Final answer
    x = 202,585.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.