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Finding the Third Proportional to 33,301 and 69,681

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Solution

The third proportional to 33,301 and 69,681 is: 145,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301 : 69,681 = 69,681 : x
  2. Step 2: Convert to fraction form
    33,301/69,681 = 69,681/x
  3. Step 3: Cross multiply
    33,301x = 69,681 × 69,681
  4. Step 4: Simplify right side
    33,301x = 4,855,441,761
  5. Step 5: Solve for x
    x = 4,855,441,761/33,301
  6. Step 6: Final answer
    x = 145,804.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.