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Finding the Third Proportional to 61,902 and 134,172

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Solution

The third proportional to 61,902 and 134,172 is: 290,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,902 : 134,172 = 134,172 : x
  2. Step 2: Convert to fraction form
    61,902/134,172 = 134,172/x
  3. Step 3: Cross multiply
    61,902x = 134,172 × 134,172
  4. Step 4: Simplify right side
    61,902x = 18,002,125,584
  5. Step 5: Solve for x
    x = 18,002,125,584/61,902
  6. Step 6: Final answer
    x = 290,816.54

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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.