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Finding the Third Proportional to 85,839.75 and 124,856.44

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Solution

The third proportional to 85,839.75 and 124,856.44 is: 181,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,839.75 : 124,856.44 = 124,856.44 : x
  2. Step 2: Convert to fraction form
    85,839.75/124,856.44 = 124,856.44/x
  3. Step 3: Cross multiply
    85,839.75x = 124,856.44 × 124,856.44
  4. Step 4: Simplify right side
    85,839.75x = 15,589,129,985.19
  5. Step 5: Solve for x
    x = 15,589,129,985.19/85,839.75
  6. Step 6: Final answer
    x = 181,607.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.