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Finding the Third Proportional to 78,939 and 111,175

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Solution

The third proportional to 78,939 and 111,175 is: 156,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,939 : 111,175 = 111,175 : x
  2. Step 2: Convert to fraction form
    78,939/111,175 = 111,175/x
  3. Step 3: Cross multiply
    78,939x = 111,175 × 111,175
  4. Step 4: Simplify right side
    78,939x = 12,359,880,625
  5. Step 5: Solve for x
    x = 12,359,880,625/78,939
  6. Step 6: Final answer
    x = 156,575.08

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