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Finding the Third Proportional to 62,337 and 136,359

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Solution

The third proportional to 62,337 and 136,359 is: 298,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,337 : 136,359 = 136,359 : x
  2. Step 2: Convert to fraction form
    62,337/136,359 = 136,359/x
  3. Step 3: Cross multiply
    62,337x = 136,359 × 136,359
  4. Step 4: Simplify right side
    62,337x = 18,593,776,881
  5. Step 5: Solve for x
    x = 18,593,776,881/62,337
  6. Step 6: Final answer
    x = 298,278.34

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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.