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Finding the Third Proportional to 121,926.75 and 270,006.75

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Solution

The third proportional to 121,926.75 and 270,006.75 is: 597,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,926.75 : 270,006.75 = 270,006.75 : x
  2. Step 2: Convert to fraction form
    121,926.75/270,006.75 = 270,006.75/x
  3. Step 3: Cross multiply
    121,926.75x = 270,006.75 × 270,006.75
  4. Step 4: Simplify right side
    121,926.75x = 72,903,645,045.56
  5. Step 5: Solve for x
    x = 72,903,645,045.56/121,926.75
  6. Step 6: Final answer
    x = 597,929.86

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.