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Finding the Third Proportional to 62,822 and 136,937

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Solution

The third proportional to 62,822 and 136,937 is: 298,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,822 : 136,937 = 136,937 : x
  2. Step 2: Convert to fraction form
    62,822/136,937 = 136,937/x
  3. Step 3: Cross multiply
    62,822x = 136,937 × 136,937
  4. Step 4: Simplify right side
    62,822x = 18,751,741,969
  5. Step 5: Solve for x
    x = 18,751,741,969/62,822
  6. Step 6: Final answer
    x = 298,490.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.