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Finding the Third Proportional to 69,408 and 98,279

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Solution

The third proportional to 69,408 and 98,279 is: 139,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,408 : 98,279 = 98,279 : x
  2. Step 2: Convert to fraction form
    69,408/98,279 = 98,279/x
  3. Step 3: Cross multiply
    69,408x = 98,279 × 98,279
  4. Step 4: Simplify right side
    69,408x = 9,658,761,841
  5. Step 5: Solve for x
    x = 9,658,761,841/69,408
  6. Step 6: Final answer
    x = 139,159.20

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.