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Finding the Third Proportional to 41,306 and 90,292

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Solution

The third proportional to 41,306 and 90,292 is: 197,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,306 : 90,292 = 90,292 : x
  2. Step 2: Convert to fraction form
    41,306/90,292 = 90,292/x
  3. Step 3: Cross multiply
    41,306x = 90,292 × 90,292
  4. Step 4: Simplify right side
    41,306x = 8,152,645,264
  5. Step 5: Solve for x
    x = 8,152,645,264/41,306
  6. Step 6: Final answer
    x = 197,371.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.