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Finding the Third Proportional to 26,354 and 62,211

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Solution

The third proportional to 26,354 and 62,211 is: 146,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354 : 62,211 = 62,211 : x
  2. Step 2: Convert to fraction form
    26,354/62,211 = 62,211/x
  3. Step 3: Cross multiply
    26,354x = 62,211 × 62,211
  4. Step 4: Simplify right side
    26,354x = 3,870,208,521
  5. Step 5: Solve for x
    x = 3,870,208,521/26,354
  6. Step 6: Final answer
    x = 146,854.69

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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.