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Finding the Third Proportional to 65,712.52 and 141,215.27

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Solution

The third proportional to 65,712.52 and 141,215.27 is: 303,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712.52 : 141,215.27 = 141,215.27 : x
  2. Step 2: Convert to fraction form
    65,712.52/141,215.27 = 141,215.27/x
  3. Step 3: Cross multiply
    65,712.52x = 141,215.27 × 141,215.27
  4. Step 4: Simplify right side
    65,712.52x = 19,941,753,452.03
  5. Step 5: Solve for x
    x = 19,941,753,452.03/65,712.52
  6. Step 6: Final answer
    x = 303,469.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.