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Finding the Third Proportional to 56,112.75 and 86,140.13

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Solution

The third proportional to 56,112.75 and 86,140.13 is: 132,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,112.75 : 86,140.13 = 86,140.13 : x
  2. Step 2: Convert to fraction form
    56,112.75/86,140.13 = 86,140.13/x
  3. Step 3: Cross multiply
    56,112.75x = 86,140.13 × 86,140.13
  4. Step 4: Simplify right side
    56,112.75x = 7,420,121,135.02
  5. Step 5: Solve for x
    x = 7,420,121,135.02/56,112.75
  6. Step 6: Final answer
    x = 132,235.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.