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Finding the Third Proportional to 65,282 and 88,081

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Solution

The third proportional to 65,282 and 88,081 is: 118,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,282 : 88,081 = 88,081 : x
  2. Step 2: Convert to fraction form
    65,282/88,081 = 88,081/x
  3. Step 3: Cross multiply
    65,282x = 88,081 × 88,081
  4. Step 4: Simplify right side
    65,282x = 7,758,262,561
  5. Step 5: Solve for x
    x = 7,758,262,561/65,282
  6. Step 6: Final answer
    x = 118,842.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.