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Finding the Third Proportional to 62,853 and 136,767

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Solution

The third proportional to 62,853 and 136,767 is: 297,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,853 : 136,767 = 136,767 : x
  2. Step 2: Convert to fraction form
    62,853/136,767 = 136,767/x
  3. Step 3: Cross multiply
    62,853x = 136,767 × 136,767
  4. Step 4: Simplify right side
    62,853x = 18,705,212,289
  5. Step 5: Solve for x
    x = 18,705,212,289/62,853
  6. Step 6: Final answer
    x = 297,602.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.