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Finding the Third Proportional to 61,723 and 132,923

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Solution

The third proportional to 61,723 and 132,923 is: 286,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,723 : 132,923 = 132,923 : x
  2. Step 2: Convert to fraction form
    61,723/132,923 = 132,923/x
  3. Step 3: Cross multiply
    61,723x = 132,923 × 132,923
  4. Step 4: Simplify right side
    61,723x = 17,668,523,929
  5. Step 5: Solve for x
    x = 17,668,523,929/61,723
  6. Step 6: Final answer
    x = 286,255.11

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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.