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Finding the Third Proportional to 85,785 and 132,567

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Solution

The third proportional to 85,785 and 132,567 is: 204,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,785 : 132,567 = 132,567 : x
  2. Step 2: Convert to fraction form
    85,785/132,567 = 132,567/x
  3. Step 3: Cross multiply
    85,785x = 132,567 × 132,567
  4. Step 4: Simplify right side
    85,785x = 17,574,009,489
  5. Step 5: Solve for x
    x = 17,574,009,489/85,785
  6. Step 6: Final answer
    x = 204,861.10

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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.