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Finding the Third Proportional to 57,235.78 and 124,318.76

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Solution

The third proportional to 57,235.78 and 124,318.76 is: 270,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,235.78 : 124,318.76 = 124,318.76 : x
  2. Step 2: Convert to fraction form
    57,235.78/124,318.76 = 124,318.76/x
  3. Step 3: Cross multiply
    57,235.78x = 124,318.76 × 124,318.76
  4. Step 4: Simplify right side
    57,235.78x = 15,455,153,544.04
  5. Step 5: Solve for x
    x = 15,455,153,544.04/57,235.78
  6. Step 6: Final answer
    x = 270,026.08

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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.