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Finding the Third Proportional to 61,744 and 127,723

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Solution

The third proportional to 61,744 and 127,723 is: 264,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,744 : 127,723 = 127,723 : x
  2. Step 2: Convert to fraction form
    61,744/127,723 = 127,723/x
  3. Step 3: Cross multiply
    61,744x = 127,723 × 127,723
  4. Step 4: Simplify right side
    61,744x = 16,313,164,729
  5. Step 5: Solve for x
    x = 16,313,164,729/61,744
  6. Step 6: Final answer
    x = 264,206.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.