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Finding the Third Proportional to 57,948.75 and 119,585.25

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Solution

The third proportional to 57,948.75 and 119,585.25 is: 246,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,948.75 : 119,585.25 = 119,585.25 : x
  2. Step 2: Convert to fraction form
    57,948.75/119,585.25 = 119,585.25/x
  3. Step 3: Cross multiply
    57,948.75x = 119,585.25 × 119,585.25
  4. Step 4: Simplify right side
    57,948.75x = 14,300,632,017.56
  5. Step 5: Solve for x
    x = 14,300,632,017.56/57,948.75
  6. Step 6: Final answer
    x = 246,780.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.