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Finding the Third Proportional to 65,252.25 and 142,398

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Solution

The third proportional to 65,252.25 and 142,398 is: 310,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252.25 : 142,398 = 142,398 : x
  2. Step 2: Convert to fraction form
    65,252.25/142,398 = 142,398/x
  3. Step 3: Cross multiply
    65,252.25x = 142,398 × 142,398
  4. Step 4: Simplify right side
    65,252.25x = 20,277,190,404
  5. Step 5: Solve for x
    x = 20,277,190,404/65,252.25
  6. Step 6: Final answer
    x = 310,750.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.