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Finding the Third Proportional to 78,916 and 111,001

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Solution

The third proportional to 78,916 and 111,001 is: 156,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,916 : 111,001 = 111,001 : x
  2. Step 2: Convert to fraction form
    78,916/111,001 = 111,001/x
  3. Step 3: Cross multiply
    78,916x = 111,001 × 111,001
  4. Step 4: Simplify right side
    78,916x = 12,321,222,001
  5. Step 5: Solve for x
    x = 12,321,222,001/78,916
  6. Step 6: Final answer
    x = 156,130.85

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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.