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Finding the Third Proportional to 41,470 and 90,712

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Solution

The third proportional to 41,470 and 90,712 is: 198,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,470 : 90,712 = 90,712 : x
  2. Step 2: Convert to fraction form
    41,470/90,712 = 90,712/x
  3. Step 3: Cross multiply
    41,470x = 90,712 × 90,712
  4. Step 4: Simplify right side
    41,470x = 8,228,666,944
  5. Step 5: Solve for x
    x = 8,228,666,944/41,470
  6. Step 6: Final answer
    x = 198,424.57

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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.