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Finding the Third Proportional to 85,764 and 132,534

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Solution

The third proportional to 85,764 and 132,534 is: 204,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,764 : 132,534 = 132,534 : x
  2. Step 2: Convert to fraction form
    85,764/132,534 = 132,534/x
  3. Step 3: Cross multiply
    85,764x = 132,534 × 132,534
  4. Step 4: Simplify right side
    85,764x = 17,565,261,156
  5. Step 5: Solve for x
    x = 17,565,261,156/85,764
  6. Step 6: Final answer
    x = 204,809.26

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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.