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Finding the Third Proportional to 121,092 and 263,983.50

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Solution

The third proportional to 121,092 and 263,983.50 is: 575,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,092 : 263,983.50 = 263,983.50 : x
  2. Step 2: Convert to fraction form
    121,092/263,983.50 = 263,983.50/x
  3. Step 3: Cross multiply
    121,092x = 263,983.50 × 263,983.50
  4. Step 4: Simplify right side
    121,092x = 69,687,288,272.25
  5. Step 5: Solve for x
    x = 69,687,288,272.25/121,092
  6. Step 6: Final answer
    x = 575,490.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.