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Finding the Third Proportional to 78,902 and 110,981

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Solution

The third proportional to 78,902 and 110,981 is: 156,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,902 : 110,981 = 110,981 : x
  2. Step 2: Convert to fraction form
    78,902/110,981 = 110,981/x
  3. Step 3: Cross multiply
    78,902x = 110,981 × 110,981
  4. Step 4: Simplify right side
    78,902x = 12,316,782,361
  5. Step 5: Solve for x
    x = 12,316,782,361/78,902
  6. Step 6: Final answer
    x = 156,102.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.