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Finding the Third Proportional to 53,764.50 and 83,418.75

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Solution

The third proportional to 53,764.50 and 83,418.75 is: 129,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,764.50 : 83,418.75 = 83,418.75 : x
  2. Step 2: Convert to fraction form
    53,764.50/83,418.75 = 83,418.75/x
  3. Step 3: Cross multiply
    53,764.50x = 83,418.75 × 83,418.75
  4. Step 4: Simplify right side
    53,764.50x = 6,958,687,851.56
  5. Step 5: Solve for x
    x = 6,958,687,851.56/53,764.50
  6. Step 6: Final answer
    x = 129,429.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.