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Finding the Third Proportional to 72,294.75 and 108,016.88

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Solution

The third proportional to 72,294.75 and 108,016.88 is: 161,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,294.75 : 108,016.88 = 108,016.88 : x
  2. Step 2: Convert to fraction form
    72,294.75/108,016.88 = 108,016.88/x
  3. Step 3: Cross multiply
    72,294.75x = 108,016.88 × 108,016.88
  4. Step 4: Simplify right side
    72,294.75x = 11,667,645,284.77
  5. Step 5: Solve for x
    x = 11,667,645,284.77/72,294.75
  6. Step 6: Final answer
    x = 161,389.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.