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Finding the Third Proportional to 41,031 and 88,339

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Solution

The third proportional to 41,031 and 88,339 is: 190,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,031 : 88,339 = 88,339 : x
  2. Step 2: Convert to fraction form
    41,031/88,339 = 88,339/x
  3. Step 3: Cross multiply
    41,031x = 88,339 × 88,339
  4. Step 4: Simplify right side
    41,031x = 7,803,778,921
  5. Step 5: Solve for x
    x = 7,803,778,921/41,031
  6. Step 6: Final answer
    x = 190,192.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.