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Finding the Third Proportional to 41,712 and 88,602

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Solution

The third proportional to 41,712 and 88,602 is: 188,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,712 : 88,602 = 88,602 : x
  2. Step 2: Convert to fraction form
    41,712/88,602 = 88,602/x
  3. Step 3: Cross multiply
    41,712x = 88,602 × 88,602
  4. Step 4: Simplify right side
    41,712x = 7,850,314,404
  5. Step 5: Solve for x
    x = 7,850,314,404/41,712
  6. Step 6: Final answer
    x = 188,202.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.