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Finding the Third Proportional to 85,020 and 132,255

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Solution

The third proportional to 85,020 and 132,255 is: 205,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,020 : 132,255 = 132,255 : x
  2. Step 2: Convert to fraction form
    85,020/132,255 = 132,255/x
  3. Step 3: Cross multiply
    85,020x = 132,255 × 132,255
  4. Step 4: Simplify right side
    85,020x = 17,491,385,025
  5. Step 5: Solve for x
    x = 17,491,385,025/85,020
  6. Step 6: Final answer
    x = 205,732.59

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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.