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Finding the Third Proportional to 62,530 and 136,919

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Solution

The third proportional to 62,530 and 136,919 is: 299,805.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,530 : 136,919 = 136,919 : x
  2. Step 2: Convert to fraction form
    62,530/136,919 = 136,919/x
  3. Step 3: Cross multiply
    62,530x = 136,919 × 136,919
  4. Step 4: Simplify right side
    62,530x = 18,746,812,561
  5. Step 5: Solve for x
    x = 18,746,812,561/62,530
  6. Step 6: Final answer
    x = 299,805.09

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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.