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Finding the Third Proportional to 41,986 and 88,712

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Solution

The third proportional to 41,986 and 88,712 is: 187,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,986 : 88,712 = 88,712 : x
  2. Step 2: Convert to fraction form
    41,986/88,712 = 88,712/x
  3. Step 3: Cross multiply
    41,986x = 88,712 × 88,712
  4. Step 4: Simplify right side
    41,986x = 7,869,818,944
  5. Step 5: Solve for x
    x = 7,869,818,944/41,986
  6. Step 6: Final answer
    x = 187,439.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.