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Finding the Third Proportional to 84,646 and 131,489

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Solution

The third proportional to 84,646 and 131,489 is: 204,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,646 : 131,489 = 131,489 : x
  2. Step 2: Convert to fraction form
    84,646/131,489 = 131,489/x
  3. Step 3: Cross multiply
    84,646x = 131,489 × 131,489
  4. Step 4: Simplify right side
    84,646x = 17,289,357,121
  5. Step 5: Solve for x
    x = 17,289,357,121/84,646
  6. Step 6: Final answer
    x = 204,254.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.