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Finding the Third Proportional to 78,602 and 111,115

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Solution

The third proportional to 78,602 and 111,115 is: 157,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602 : 111,115 = 111,115 : x
  2. Step 2: Convert to fraction form
    78,602/111,115 = 111,115/x
  3. Step 3: Cross multiply
    78,602x = 111,115 × 111,115
  4. Step 4: Simplify right side
    78,602x = 12,346,543,225
  5. Step 5: Solve for x
    x = 12,346,543,225/78,602
  6. Step 6: Final answer
    x = 157,076.71

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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.