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Finding the Third Proportional to 121,870.55 and 271,747.69

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Solution

The third proportional to 121,870.55 and 271,747.69 is: 605,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,870.55 : 271,747.69 = 271,747.69 : x
  2. Step 2: Convert to fraction form
    121,870.55/271,747.69 = 271,747.69/x
  3. Step 3: Cross multiply
    121,870.55x = 271,747.69 × 271,747.69
  4. Step 4: Simplify right side
    121,870.55x = 73,846,805,661.60
  5. Step 5: Solve for x
    x = 73,846,805,661.60/121,870.55
  6. Step 6: Final answer
    x = 605,944.65

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.