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Finding the Third Proportional to 41,842 and 64,099

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Solution

The third proportional to 41,842 and 64,099 is: 98,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842 : 64,099 = 64,099 : x
  2. Step 2: Convert to fraction form
    41,842/64,099 = 64,099/x
  3. Step 3: Cross multiply
    41,842x = 64,099 × 64,099
  4. Step 4: Simplify right side
    41,842x = 4,108,681,801
  5. Step 5: Solve for x
    x = 4,108,681,801/41,842
  6. Step 6: Final answer
    x = 98,195.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.