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Finding the Third Proportional to 78,610 and 111,126

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Solution

The third proportional to 78,610 and 111,126 is: 157,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,610 : 111,126 = 111,126 : x
  2. Step 2: Convert to fraction form
    78,610/111,126 = 111,126/x
  3. Step 3: Cross multiply
    78,610x = 111,126 × 111,126
  4. Step 4: Simplify right side
    78,610x = 12,348,987,876
  5. Step 5: Solve for x
    x = 12,348,987,876/78,610
  6. Step 6: Final answer
    x = 157,091.82

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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.