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Finding the Third Proportional to 26,352 and 62,206

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Solution

The third proportional to 26,352 and 62,206 is: 146,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,352 : 62,206 = 62,206 : x
  2. Step 2: Convert to fraction form
    26,352/62,206 = 62,206/x
  3. Step 3: Cross multiply
    26,352x = 62,206 × 62,206
  4. Step 4: Simplify right side
    26,352x = 3,869,586,436
  5. Step 5: Solve for x
    x = 3,869,586,436/26,352
  6. Step 6: Final answer
    x = 146,842.23

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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.