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Finding the Third Proportional to 72,698.06 and 106,227.56

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Solution

The third proportional to 72,698.06 and 106,227.56 is: 155,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698.06 : 106,227.56 = 106,227.56 : x
  2. Step 2: Convert to fraction form
    72,698.06/106,227.56 = 106,227.56/x
  3. Step 3: Cross multiply
    72,698.06x = 106,227.56 × 106,227.56
  4. Step 4: Simplify right side
    72,698.06x = 11,284,295,034.69
  5. Step 5: Solve for x
    x = 11,284,295,034.69/72,698.06
  6. Step 6: Final answer
    x = 155,221.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.