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Finding the Third Proportional to 85,168.97 and 132,246.84

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Solution

The third proportional to 85,168.97 and 132,246.84 is: 205,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,168.97 : 132,246.84 = 132,246.84 : x
  2. Step 2: Convert to fraction form
    85,168.97/132,246.84 = 132,246.84/x
  3. Step 3: Cross multiply
    85,168.97x = 132,246.84 × 132,246.84
  4. Step 4: Simplify right side
    85,168.97x = 17,489,227,681.84
  5. Step 5: Solve for x
    x = 17,489,227,681.84/85,168.97
  6. Step 6: Final answer
    x = 205,347.42

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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.