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Finding the Third Proportional to 61,839 and 146,817

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Solution

The third proportional to 61,839 and 146,817 is: 348,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,839 : 146,817 = 146,817 : x
  2. Step 2: Convert to fraction form
    61,839/146,817 = 146,817/x
  3. Step 3: Cross multiply
    61,839x = 146,817 × 146,817
  4. Step 4: Simplify right side
    61,839x = 21,555,231,489
  5. Step 5: Solve for x
    x = 21,555,231,489/61,839
  6. Step 6: Final answer
    x = 348,570.18

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.