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Finding the Third Proportional to 62,744 and 134,584

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Solution

The third proportional to 62,744 and 134,584 is: 288,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,744 : 134,584 = 134,584 : x
  2. Step 2: Convert to fraction form
    62,744/134,584 = 134,584/x
  3. Step 3: Cross multiply
    62,744x = 134,584 × 134,584
  4. Step 4: Simplify right side
    62,744x = 18,112,853,056
  5. Step 5: Solve for x
    x = 18,112,853,056/62,744
  6. Step 6: Final answer
    x = 288,678.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.