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Finding the Third Proportional to 57,995 and 127,051

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Solution

The third proportional to 57,995 and 127,051 is: 278,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,995 : 127,051 = 127,051 : x
  2. Step 2: Convert to fraction form
    57,995/127,051 = 127,051/x
  3. Step 3: Cross multiply
    57,995x = 127,051 × 127,051
  4. Step 4: Simplify right side
    57,995x = 16,141,956,601
  5. Step 5: Solve for x
    x = 16,141,956,601/57,995
  6. Step 6: Final answer
    x = 278,333.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.