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Finding the Third Proportional to 61,670 and 132,698

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Solution

The third proportional to 61,670 and 132,698 is: 285,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,670 : 132,698 = 132,698 : x
  2. Step 2: Convert to fraction form
    61,670/132,698 = 132,698/x
  3. Step 3: Cross multiply
    61,670x = 132,698 × 132,698
  4. Step 4: Simplify right side
    61,670x = 17,608,759,204
  5. Step 5: Solve for x
    x = 17,608,759,204/61,670
  6. Step 6: Final answer
    x = 285,532.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.