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Finding the Third Proportional to 26,361 and 62,226

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Solution

The third proportional to 26,361 and 62,226 is: 146,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,361 : 62,226 = 62,226 : x
  2. Step 2: Convert to fraction form
    26,361/62,226 = 62,226/x
  3. Step 3: Cross multiply
    26,361x = 62,226 × 62,226
  4. Step 4: Simplify right side
    26,361x = 3,872,075,076
  5. Step 5: Solve for x
    x = 3,872,075,076/26,361
  6. Step 6: Final answer
    x = 146,886.50

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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.