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Finding the Third Proportional to 57,422 and 123,148

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Solution

The third proportional to 57,422 and 123,148 is: 264,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,422 : 123,148 = 123,148 : x
  2. Step 2: Convert to fraction form
    57,422/123,148 = 123,148/x
  3. Step 3: Cross multiply
    57,422x = 123,148 × 123,148
  4. Step 4: Simplify right side
    57,422x = 15,165,429,904
  5. Step 5: Solve for x
    x = 15,165,429,904/57,422
  6. Step 6: Final answer
    x = 264,104.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.