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Finding the Third Proportional to 62,810 and 88,031

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Solution

The third proportional to 62,810 and 88,031 is: 123,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,810 : 88,031 = 88,031 : x
  2. Step 2: Convert to fraction form
    62,810/88,031 = 88,031/x
  3. Step 3: Cross multiply
    62,810x = 88,031 × 88,031
  4. Step 4: Simplify right side
    62,810x = 7,749,456,961
  5. Step 5: Solve for x
    x = 7,749,456,961/62,810
  6. Step 6: Final answer
    x = 123,379.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.