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Finding the Third Proportional to 78,918 and 111,003

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Solution

The third proportional to 78,918 and 111,003 is: 156,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,918 : 111,003 = 111,003 : x
  2. Step 2: Convert to fraction form
    78,918/111,003 = 111,003/x
  3. Step 3: Cross multiply
    78,918x = 111,003 × 111,003
  4. Step 4: Simplify right side
    78,918x = 12,321,666,009
  5. Step 5: Solve for x
    x = 12,321,666,009/78,918
  6. Step 6: Final answer
    x = 156,132.52

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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.