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Finding the Third Proportional to 65,076 and 88,398

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Solution

The third proportional to 65,076 and 88,398 is: 120,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,076 : 88,398 = 88,398 : x
  2. Step 2: Convert to fraction form
    65,076/88,398 = 88,398/x
  3. Step 3: Cross multiply
    65,076x = 88,398 × 88,398
  4. Step 4: Simplify right side
    65,076x = 7,814,206,404
  5. Step 5: Solve for x
    x = 7,814,206,404/65,076
  6. Step 6: Final answer
    x = 120,078.16

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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.