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Finding the Third Proportional to 57,080 and 123,904

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Solution

The third proportional to 57,080 and 123,904 is: 268,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,080 : 123,904 = 123,904 : x
  2. Step 2: Convert to fraction form
    57,080/123,904 = 123,904/x
  3. Step 3: Cross multiply
    57,080x = 123,904 × 123,904
  4. Step 4: Simplify right side
    57,080x = 15,352,201,216
  5. Step 5: Solve for x
    x = 15,352,201,216/57,080
  6. Step 6: Final answer
    x = 268,959.38

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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.