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Finding the Third Proportional to 62,725 and 135,674

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Solution

The third proportional to 62,725 and 135,674 is: 293,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,725 : 135,674 = 135,674 : x
  2. Step 2: Convert to fraction form
    62,725/135,674 = 135,674/x
  3. Step 3: Cross multiply
    62,725x = 135,674 × 135,674
  4. Step 4: Simplify right side
    62,725x = 18,407,434,276
  5. Step 5: Solve for x
    x = 18,407,434,276/62,725
  6. Step 6: Final answer
    x = 293,462.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.