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Finding the Third Proportional to 85,480 and 132,701

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Solution

The third proportional to 85,480 and 132,701 is: 206,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,480 : 132,701 = 132,701 : x
  2. Step 2: Convert to fraction form
    85,480/132,701 = 132,701/x
  3. Step 3: Cross multiply
    85,480x = 132,701 × 132,701
  4. Step 4: Simplify right side
    85,480x = 17,609,555,401
  5. Step 5: Solve for x
    x = 17,609,555,401/85,480
  6. Step 6: Final answer
    x = 206,007.90

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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.