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Finding the Third Proportional to 56,143.75 and 84,443.25

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Solution

The third proportional to 56,143.75 and 84,443.25 is: 127,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.75 : 84,443.25 = 84,443.25 : x
  2. Step 2: Convert to fraction form
    56,143.75/84,443.25 = 84,443.25/x
  3. Step 3: Cross multiply
    56,143.75x = 84,443.25 × 84,443.25
  4. Step 4: Simplify right side
    56,143.75x = 7,130,662,470.56
  5. Step 5: Solve for x
    x = 7,130,662,470.56/56,143.75
  6. Step 6: Final answer
    x = 127,007.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.