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Finding the Third Proportional to 84,250 and 131,559

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Solution

The third proportional to 84,250 and 131,559 is: 205,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,250 : 131,559 = 131,559 : x
  2. Step 2: Convert to fraction form
    84,250/131,559 = 131,559/x
  3. Step 3: Cross multiply
    84,250x = 131,559 × 131,559
  4. Step 4: Simplify right side
    84,250x = 17,307,770,481
  5. Step 5: Solve for x
    x = 17,307,770,481/84,250
  6. Step 6: Final answer
    x = 205,433.48

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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.