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Finding the Third Proportional to 41,681 and 88,829

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Solution

The third proportional to 41,681 and 88,829 is: 189,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,681 : 88,829 = 88,829 : x
  2. Step 2: Convert to fraction form
    41,681/88,829 = 88,829/x
  3. Step 3: Cross multiply
    41,681x = 88,829 × 88,829
  4. Step 4: Simplify right side
    41,681x = 7,890,591,241
  5. Step 5: Solve for x
    x = 7,890,591,241/41,681
  6. Step 6: Final answer
    x = 189,309.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.