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Finding the Third Proportional to 41,292 and 88,414

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Solution

The third proportional to 41,292 and 88,414 is: 189,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,292 : 88,414 = 88,414 : x
  2. Step 2: Convert to fraction form
    41,292/88,414 = 88,414/x
  3. Step 3: Cross multiply
    41,292x = 88,414 × 88,414
  4. Step 4: Simplify right side
    41,292x = 7,817,035,396
  5. Step 5: Solve for x
    x = 7,817,035,396/41,292
  6. Step 6: Final answer
    x = 189,311.14

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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.