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Finding the Third Proportional to 85,612 and 133,081

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Solution

The third proportional to 85,612 and 133,081 is: 206,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,612 : 133,081 = 133,081 : x
  2. Step 2: Convert to fraction form
    85,612/133,081 = 133,081/x
  3. Step 3: Cross multiply
    85,612x = 133,081 × 133,081
  4. Step 4: Simplify right side
    85,612x = 17,710,552,561
  5. Step 5: Solve for x
    x = 17,710,552,561/85,612
  6. Step 6: Final answer
    x = 206,869.98

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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.