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Finding the Third Proportional to 57,574.50 and 119,794.50

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Solution

The third proportional to 57,574.50 and 119,794.50 is: 249,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,574.50 : 119,794.50 = 119,794.50 : x
  2. Step 2: Convert to fraction form
    57,574.50/119,794.50 = 119,794.50/x
  3. Step 3: Cross multiply
    57,574.50x = 119,794.50 × 119,794.50
  4. Step 4: Simplify right side
    57,574.50x = 14,350,722,230.25
  5. Step 5: Solve for x
    x = 14,350,722,230.25/57,574.50
  6. Step 6: Final answer
    x = 249,254.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.