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Finding the Third Proportional to 62,201 and 134,901

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Solution

The third proportional to 62,201 and 134,901 is: 292,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,201 : 134,901 = 134,901 : x
  2. Step 2: Convert to fraction form
    62,201/134,901 = 134,901/x
  3. Step 3: Cross multiply
    62,201x = 134,901 × 134,901
  4. Step 4: Simplify right side
    62,201x = 18,198,279,801
  5. Step 5: Solve for x
    x = 18,198,279,801/62,201
  6. Step 6: Final answer
    x = 292,572.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.