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Finding the Third Proportional to 77,982 and 125,586

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Solution

The third proportional to 77,982 and 125,586 is: 202,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982 : 125,586 = 125,586 : x
  2. Step 2: Convert to fraction form
    77,982/125,586 = 125,586/x
  3. Step 3: Cross multiply
    77,982x = 125,586 × 125,586
  4. Step 4: Simplify right side
    77,982x = 15,771,843,396
  5. Step 5: Solve for x
    x = 15,771,843,396/77,982
  6. Step 6: Final answer
    x = 202,249.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.