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Finding the Third Proportional to 26,234 and 55,432

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Solution

The third proportional to 26,234 and 55,432 is: 117,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,234 : 55,432 = 55,432 : x
  2. Step 2: Convert to fraction form
    26,234/55,432 = 55,432/x
  3. Step 3: Cross multiply
    26,234x = 55,432 × 55,432
  4. Step 4: Simplify right side
    26,234x = 3,072,706,624
  5. Step 5: Solve for x
    x = 3,072,706,624/26,234
  6. Step 6: Final answer
    x = 117,126.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.