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Finding the Third Proportional to 57,358 and 123,504

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Solution

The third proportional to 57,358 and 123,504 is: 265,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,358 : 123,504 = 123,504 : x
  2. Step 2: Convert to fraction form
    57,358/123,504 = 123,504/x
  3. Step 3: Cross multiply
    57,358x = 123,504 × 123,504
  4. Step 4: Simplify right side
    57,358x = 15,253,238,016
  5. Step 5: Solve for x
    x = 15,253,238,016/57,358
  6. Step 6: Final answer
    x = 265,930.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.