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Finding the Third Proportional to 72,824.06 and 155,773.13

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Solution

The third proportional to 72,824.06 and 155,773.13 is: 333,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,824.06 : 155,773.13 = 155,773.13 : x
  2. Step 2: Convert to fraction form
    72,824.06/155,773.13 = 155,773.13/x
  3. Step 3: Cross multiply
    72,824.06x = 155,773.13 × 155,773.13
  4. Step 4: Simplify right side
    72,824.06x = 24,265,266,472.27
  5. Step 5: Solve for x
    x = 24,265,266,472.27/72,824.06
  6. Step 6: Final answer
    x = 333,203.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.