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Finding the Third Proportional to 72,998.72 and 110,868.75

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Solution

The third proportional to 72,998.72 and 110,868.75 is: 168,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,998.72 : 110,868.75 = 110,868.75 : x
  2. Step 2: Convert to fraction form
    72,998.72/110,868.75 = 110,868.75/x
  3. Step 3: Cross multiply
    72,998.72x = 110,868.75 × 110,868.75
  4. Step 4: Simplify right side
    72,998.72x = 12,291,879,726.56
  5. Step 5: Solve for x
    x = 12,291,879,726.56/72,998.72
  6. Step 6: Final answer
    x = 168,384.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.