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Finding the Third Proportional to 91,264.54 and 143,393.73

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Solution

The third proportional to 91,264.54 and 143,393.73 is: 225,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,264.54 : 143,393.73 = 143,393.73 : x
  2. Step 2: Convert to fraction form
    91,264.54/143,393.73 = 143,393.73/x
  3. Step 3: Cross multiply
    91,264.54x = 143,393.73 × 143,393.73
  4. Step 4: Simplify right side
    91,264.54x = 20,561,761,937.74
  5. Step 5: Solve for x
    x = 20,561,761,937.74/91,264.54
  6. Step 6: Final answer
    x = 225,298.49

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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.