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Finding the Third Proportional to 84,799.59 and 131,867.77

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Solution

The third proportional to 84,799.59 and 131,867.77 is: 205,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,799.59 : 131,867.77 = 131,867.77 : x
  2. Step 2: Convert to fraction form
    84,799.59/131,867.77 = 131,867.77/x
  3. Step 3: Cross multiply
    84,799.59x = 131,867.77 × 131,867.77
  4. Step 4: Simplify right side
    84,799.59x = 17,389,107,610.93
  5. Step 5: Solve for x
    x = 17,389,107,610.93/84,799.59
  6. Step 6: Final answer
    x = 205,061.21

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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.