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Finding the Third Proportional to 62,242 and 136,579

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Solution

The third proportional to 62,242 and 136,579 is: 299,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,242 : 136,579 = 136,579 : x
  2. Step 2: Convert to fraction form
    62,242/136,579 = 136,579/x
  3. Step 3: Cross multiply
    62,242x = 136,579 × 136,579
  4. Step 4: Simplify right side
    62,242x = 18,653,823,241
  5. Step 5: Solve for x
    x = 18,653,823,241/62,242
  6. Step 6: Final answer
    x = 299,698.33

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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.