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Finding the Third Proportional to 57,294 and 123,051

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Solution

The third proportional to 57,294 and 123,051 is: 264,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294 : 123,051 = 123,051 : x
  2. Step 2: Convert to fraction form
    57,294/123,051 = 123,051/x
  3. Step 3: Cross multiply
    57,294x = 123,051 × 123,051
  4. Step 4: Simplify right side
    57,294x = 15,141,548,601
  5. Step 5: Solve for x
    x = 15,141,548,601/57,294
  6. Step 6: Final answer
    x = 264,278.08

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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.