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Finding the Third Proportional to 81,472.50 and 121,704.75

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Solution

The third proportional to 81,472.50 and 121,704.75 is: 181,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,472.50 : 121,704.75 = 121,704.75 : x
  2. Step 2: Convert to fraction form
    81,472.50/121,704.75 = 121,704.75/x
  3. Step 3: Cross multiply
    81,472.50x = 121,704.75 × 121,704.75
  4. Step 4: Simplify right side
    81,472.50x = 14,812,046,172.56
  5. Step 5: Solve for x
    x = 14,812,046,172.56/81,472.50
  6. Step 6: Final answer
    x = 181,804.24

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Why These Related Problems?

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