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Finding the Third Proportional to 57,006.50 and 124,958

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Solution

The third proportional to 57,006.50 and 124,958 is: 273,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,006.50 : 124,958 = 124,958 : x
  2. Step 2: Convert to fraction form
    57,006.50/124,958 = 124,958/x
  3. Step 3: Cross multiply
    57,006.50x = 124,958 × 124,958
  4. Step 4: Simplify right side
    57,006.50x = 15,614,501,764
  5. Step 5: Solve for x
    x = 15,614,501,764/57,006.50
  6. Step 6: Final answer
    x = 273,907.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.