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Finding the Third Proportional to 67,857.75 and 111,472.88

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Solution

The third proportional to 67,857.75 and 111,472.88 is: 183,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857.75 : 111,472.88 = 111,472.88 : x
  2. Step 2: Convert to fraction form
    67,857.75/111,472.88 = 111,472.88/x
  3. Step 3: Cross multiply
    67,857.75x = 111,472.88 × 111,472.88
  4. Step 4: Simplify right side
    67,857.75x = 12,426,201,860.77
  5. Step 5: Solve for x
    x = 12,426,201,860.77/67,857.75
  6. Step 6: Final answer
    x = 183,121.34

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.