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Finding the Third Proportional to 41,280 and 90,471

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Solution

The third proportional to 41,280 and 90,471 is: 198,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,280 : 90,471 = 90,471 : x
  2. Step 2: Convert to fraction form
    41,280/90,471 = 90,471/x
  3. Step 3: Cross multiply
    41,280x = 90,471 × 90,471
  4. Step 4: Simplify right side
    41,280x = 8,185,001,841
  5. Step 5: Solve for x
    x = 8,185,001,841/41,280
  6. Step 6: Final answer
    x = 198,280.08

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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.