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Finding the Third Proportional to 56,424.75 and 85,745.25

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Solution

The third proportional to 56,424.75 and 85,745.25 is: 130,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424.75 : 85,745.25 = 85,745.25 : x
  2. Step 2: Convert to fraction form
    56,424.75/85,745.25 = 85,745.25/x
  3. Step 3: Cross multiply
    56,424.75x = 85,745.25 × 85,745.25
  4. Step 4: Simplify right side
    56,424.75x = 7,352,247,897.56
  5. Step 5: Solve for x
    x = 7,352,247,897.56/56,424.75
  6. Step 6: Final answer
    x = 130,301.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.