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Finding the Third Proportional to 65,067.75 and 97,539.75

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Solution

The third proportional to 65,067.75 and 97,539.75 is: 146,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,067.75 : 97,539.75 = 97,539.75 : x
  2. Step 2: Convert to fraction form
    65,067.75/97,539.75 = 97,539.75/x
  3. Step 3: Cross multiply
    65,067.75x = 97,539.75 × 97,539.75
  4. Step 4: Simplify right side
    65,067.75x = 9,514,002,830.06
  5. Step 5: Solve for x
    x = 9,514,002,830.06/65,067.75
  6. Step 6: Final answer
    x = 146,216.87

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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.