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Finding the Third Proportional to 62,520 and 136,907

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Solution

The third proportional to 62,520 and 136,907 is: 299,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,520 : 136,907 = 136,907 : x
  2. Step 2: Convert to fraction form
    62,520/136,907 = 136,907/x
  3. Step 3: Cross multiply
    62,520x = 136,907 × 136,907
  4. Step 4: Simplify right side
    62,520x = 18,743,526,649
  5. Step 5: Solve for x
    x = 18,743,526,649/62,520
  6. Step 6: Final answer
    x = 299,800.49

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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.