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Finding the Third Proportional to 72,731.25 and 111,754.69

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Solution

The third proportional to 72,731.25 and 111,754.69 is: 171,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,731.25 : 111,754.69 = 111,754.69 : x
  2. Step 2: Convert to fraction form
    72,731.25/111,754.69 = 111,754.69/x
  3. Step 3: Cross multiply
    72,731.25x = 111,754.69 × 111,754.69
  4. Step 4: Simplify right side
    72,731.25x = 12,489,110,178.22
  5. Step 5: Solve for x
    x = 12,489,110,178.22/72,731.25
  6. Step 6: Final answer
    x = 171,715.87

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