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Finding the Third Proportional to 82,917 and 124,461

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Solution

The third proportional to 82,917 and 124,461 is: 186,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,917 : 124,461 = 124,461 : x
  2. Step 2: Convert to fraction form
    82,917/124,461 = 124,461/x
  3. Step 3: Cross multiply
    82,917x = 124,461 × 124,461
  4. Step 4: Simplify right side
    82,917x = 15,490,540,521
  5. Step 5: Solve for x
    x = 15,490,540,521/82,917
  6. Step 6: Final answer
    x = 186,819.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.