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Finding the Third Proportional to 41,270 and 96,431

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Solution

The third proportional to 41,270 and 96,431 is: 225,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,270 : 96,431 = 96,431 : x
  2. Step 2: Convert to fraction form
    41,270/96,431 = 96,431/x
  3. Step 3: Cross multiply
    41,270x = 96,431 × 96,431
  4. Step 4: Simplify right side
    41,270x = 9,298,937,761
  5. Step 5: Solve for x
    x = 9,298,937,761/41,270
  6. Step 6: Final answer
    x = 225,319.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.