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Finding the Third Proportional to 26,302 and 57,140

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Solution

The third proportional to 26,302 and 57,140 is: 124,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302 : 57,140 = 57,140 : x
  2. Step 2: Convert to fraction form
    26,302/57,140 = 57,140/x
  3. Step 3: Cross multiply
    26,302x = 57,140 × 57,140
  4. Step 4: Simplify right side
    26,302x = 3,264,979,600
  5. Step 5: Solve for x
    x = 3,264,979,600/26,302
  6. Step 6: Final answer
    x = 124,134.27

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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.