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Finding the Third Proportional to 26,837 and 57,139

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Solution

The third proportional to 26,837 and 57,139 is: 121,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,837 : 57,139 = 57,139 : x
  2. Step 2: Convert to fraction form
    26,837/57,139 = 57,139/x
  3. Step 3: Cross multiply
    26,837x = 57,139 × 57,139
  4. Step 4: Simplify right side
    26,837x = 3,264,865,321
  5. Step 5: Solve for x
    x = 3,264,865,321/26,837
  6. Step 6: Final answer
    x = 121,655.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.