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Finding the Third Proportional to 61,301.25 and 96,327

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Solution

The third proportional to 61,301.25 and 96,327 is: 151,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,301.25 : 96,327 = 96,327 : x
  2. Step 2: Convert to fraction form
    61,301.25/96,327 = 96,327/x
  3. Step 3: Cross multiply
    61,301.25x = 96,327 × 96,327
  4. Step 4: Simplify right side
    61,301.25x = 9,278,890,929
  5. Step 5: Solve for x
    x = 9,278,890,929/61,301.25
  6. Step 6: Final answer
    x = 151,365.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.