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Finding the Third Proportional to 62,015 and 135,853

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Solution

The third proportional to 62,015 and 135,853 is: 297,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,015 : 135,853 = 135,853 : x
  2. Step 2: Convert to fraction form
    62,015/135,853 = 135,853/x
  3. Step 3: Cross multiply
    62,015x = 135,853 × 135,853
  4. Step 4: Simplify right side
    62,015x = 18,456,037,609
  5. Step 5: Solve for x
    x = 18,456,037,609/62,015
  6. Step 6: Final answer
    x = 297,606.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.