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Finding the Third Proportional to 65,078 and 88,399

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Solution

The third proportional to 65,078 and 88,399 is: 120,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078 : 88,399 = 88,399 : x
  2. Step 2: Convert to fraction form
    65,078/88,399 = 88,399/x
  3. Step 3: Cross multiply
    65,078x = 88,399 × 88,399
  4. Step 4: Simplify right side
    65,078x = 7,814,383,201
  5. Step 5: Solve for x
    x = 7,814,383,201/65,078
  6. Step 6: Final answer
    x = 120,077.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.