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Finding the Third Proportional to 84,841 and 126,031

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Solution

The third proportional to 84,841 and 126,031 is: 187,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,841 : 126,031 = 126,031 : x
  2. Step 2: Convert to fraction form
    84,841/126,031 = 126,031/x
  3. Step 3: Cross multiply
    84,841x = 126,031 × 126,031
  4. Step 4: Simplify right side
    84,841x = 15,883,812,961
  5. Step 5: Solve for x
    x = 15,883,812,961/84,841
  6. Step 6: Final answer
    x = 187,218.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.