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Finding the Third Proportional to 78,914 and 110,998

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Solution

The third proportional to 78,914 and 110,998 is: 156,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,914 : 110,998 = 110,998 : x
  2. Step 2: Convert to fraction form
    78,914/110,998 = 110,998/x
  3. Step 3: Cross multiply
    78,914x = 110,998 × 110,998
  4. Step 4: Simplify right side
    78,914x = 12,320,556,004
  5. Step 5: Solve for x
    x = 12,320,556,004/78,914
  6. Step 6: Final answer
    x = 156,126.37

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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.