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Finding the Third Proportional to 41,429 and 88,663

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Solution

The third proportional to 41,429 and 88,663 is: 189,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,429 : 88,663 = 88,663 : x
  2. Step 2: Convert to fraction form
    41,429/88,663 = 88,663/x
  3. Step 3: Cross multiply
    41,429x = 88,663 × 88,663
  4. Step 4: Simplify right side
    41,429x = 7,861,127,569
  5. Step 5: Solve for x
    x = 7,861,127,569/41,429
  6. Step 6: Final answer
    x = 189,749.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.