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Finding the Third Proportional to 40,117 and 60,031

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Solution

The third proportional to 40,117 and 60,031 is: 89,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,117 : 60,031 = 60,031 : x
  2. Step 2: Convert to fraction form
    40,117/60,031 = 60,031/x
  3. Step 3: Cross multiply
    40,117x = 60,031 × 60,031
  4. Step 4: Simplify right side
    40,117x = 3,603,720,961
  5. Step 5: Solve for x
    x = 3,603,720,961/40,117
  6. Step 6: Final answer
    x = 89,830.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.