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Finding the Third Proportional to 57,248.57 and 122,105.36

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Solution

The third proportional to 57,248.57 and 122,105.36 is: 260,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,248.57 : 122,105.36 = 122,105.36 : x
  2. Step 2: Convert to fraction form
    57,248.57/122,105.36 = 122,105.36/x
  3. Step 3: Cross multiply
    57,248.57x = 122,105.36 × 122,105.36
  4. Step 4: Simplify right side
    57,248.57x = 14,909,719,980.53
  5. Step 5: Solve for x
    x = 14,909,719,980.53/57,248.57
  6. Step 6: Final answer
    x = 260,438.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.