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Finding the Third Proportional to 57,235.50 and 124,318.27

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Solution

The third proportional to 57,235.50 and 124,318.27 is: 270,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,235.50 : 124,318.27 = 124,318.27 : x
  2. Step 2: Convert to fraction form
    57,235.50/124,318.27 = 124,318.27/x
  3. Step 3: Cross multiply
    57,235.50x = 124,318.27 × 124,318.27
  4. Step 4: Simplify right side
    57,235.50x = 15,455,031,168.01
  5. Step 5: Solve for x
    x = 15,455,031,168.01/57,235.50
  6. Step 6: Final answer
    x = 270,025.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.