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Finding the Third Proportional to 26,350 and 62,201

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Solution

The third proportional to 26,350 and 62,201 is: 146,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,350 : 62,201 = 62,201 : x
  2. Step 2: Convert to fraction form
    26,350/62,201 = 62,201/x
  3. Step 3: Cross multiply
    26,350x = 62,201 × 62,201
  4. Step 4: Simplify right side
    26,350x = 3,868,964,401
  5. Step 5: Solve for x
    x = 3,868,964,401/26,350
  6. Step 6: Final answer
    x = 146,829.77

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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.