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Finding the Third Proportional to 57,305 and 123,074

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Solution

The third proportional to 57,305 and 123,074 is: 264,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305 : 123,074 = 123,074 : x
  2. Step 2: Convert to fraction form
    57,305/123,074 = 123,074/x
  3. Step 3: Cross multiply
    57,305x = 123,074 × 123,074
  4. Step 4: Simplify right side
    57,305x = 15,147,209,476
  5. Step 5: Solve for x
    x = 15,147,209,476/57,305
  6. Step 6: Final answer
    x = 264,326.14

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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.