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Finding the Third Proportional to 62,527 and 138,568

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Solution

The third proportional to 62,527 and 138,568 is: 307,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,527 : 138,568 = 138,568 : x
  2. Step 2: Convert to fraction form
    62,527/138,568 = 138,568/x
  3. Step 3: Cross multiply
    62,527x = 138,568 × 138,568
  4. Step 4: Simplify right side
    62,527x = 19,201,090,624
  5. Step 5: Solve for x
    x = 19,201,090,624/62,527
  6. Step 6: Final answer
    x = 307,084.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.