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Finding the Third Proportional to 62,363 and 136,797

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Solution

The third proportional to 62,363 and 136,797 is: 300,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,363 : 136,797 = 136,797 : x
  2. Step 2: Convert to fraction form
    62,363/136,797 = 136,797/x
  3. Step 3: Cross multiply
    62,363x = 136,797 × 136,797
  4. Step 4: Simplify right side
    62,363x = 18,713,419,209
  5. Step 5: Solve for x
    x = 18,713,419,209/62,363
  6. Step 6: Final answer
    x = 300,072.47

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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.