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Finding the Third Proportional to 26,098 and 61,558

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Solution

The third proportional to 26,098 and 61,558 is: 145,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098 : 61,558 = 61,558 : x
  2. Step 2: Convert to fraction form
    26,098/61,558 = 61,558/x
  3. Step 3: Cross multiply
    26,098x = 61,558 × 61,558
  4. Step 4: Simplify right side
    26,098x = 3,789,387,364
  5. Step 5: Solve for x
    x = 3,789,387,364/26,098
  6. Step 6: Final answer
    x = 145,198.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.