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Finding the Third Proportional to 26,254 and 56,882

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Solution

The third proportional to 26,254 and 56,882 is: 123,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,254 : 56,882 = 56,882 : x
  2. Step 2: Convert to fraction form
    26,254/56,882 = 56,882/x
  3. Step 3: Cross multiply
    26,254x = 56,882 × 56,882
  4. Step 4: Simplify right side
    26,254x = 3,235,561,924
  5. Step 5: Solve for x
    x = 3,235,561,924/26,254
  6. Step 6: Final answer
    x = 123,240.72

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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.