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Finding the Third Proportional to 31,587 and 68,741

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Solution

The third proportional to 31,587 and 68,741 is: 149,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587 : 68,741 = 68,741 : x
  2. Step 2: Convert to fraction form
    31,587/68,741 = 68,741/x
  3. Step 3: Cross multiply
    31,587x = 68,741 × 68,741
  4. Step 4: Simplify right side
    31,587x = 4,725,325,081
  5. Step 5: Solve for x
    x = 4,725,325,081/31,587
  6. Step 6: Final answer
    x = 149,597.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.