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Finding the Third Proportional to 65,286 and 88,087

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Solution

The third proportional to 65,286 and 88,087 is: 118,851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,286 : 88,087 = 88,087 : x
  2. Step 2: Convert to fraction form
    65,286/88,087 = 88,087/x
  3. Step 3: Cross multiply
    65,286x = 88,087 × 88,087
  4. Step 4: Simplify right side
    65,286x = 7,759,319,569
  5. Step 5: Solve for x
    x = 7,759,319,569/65,286
  6. Step 6: Final answer
    x = 118,851.20

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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.