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Finding the Third Proportional to 65,414.25 and 98,202.38

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Solution

The third proportional to 65,414.25 and 98,202.38 is: 147,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.25 : 98,202.38 = 98,202.38 : x
  2. Step 2: Convert to fraction form
    65,414.25/98,202.38 = 98,202.38/x
  3. Step 3: Cross multiply
    65,414.25x = 98,202.38 × 98,202.38
  4. Step 4: Simplify right side
    65,414.25x = 9,643,706,455.64
  5. Step 5: Solve for x
    x = 9,643,706,455.64/65,414.25
  6. Step 6: Final answer
    x = 147,425.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.