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Finding the Third Proportional to 41,899 and 91,070

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Solution

The third proportional to 41,899 and 91,070 is: 197,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,899 : 91,070 = 91,070 : x
  2. Step 2: Convert to fraction form
    41,899/91,070 = 91,070/x
  3. Step 3: Cross multiply
    41,899x = 91,070 × 91,070
  4. Step 4: Simplify right side
    41,899x = 8,293,744,900
  5. Step 5: Solve for x
    x = 8,293,744,900/41,899
  6. Step 6: Final answer
    x = 197,946.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.