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Finding the Third Proportional to 127,742 and 263,683

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Solution

The third proportional to 127,742 and 263,683 is: 544,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,742 : 263,683 = 263,683 : x
  2. Step 2: Convert to fraction form
    127,742/263,683 = 263,683/x
  3. Step 3: Cross multiply
    127,742x = 263,683 × 263,683
  4. Step 4: Simplify right side
    127,742x = 69,528,724,489
  5. Step 5: Solve for x
    x = 69,528,724,489/127,742
  6. Step 6: Final answer
    x = 544,290.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.