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Finding the Third Proportional to 101,768 and 149,006

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Solution

The third proportional to 101,768 and 149,006 is: 218,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,768 : 149,006 = 149,006 : x
  2. Step 2: Convert to fraction form
    101,768/149,006 = 149,006/x
  3. Step 3: Cross multiply
    101,768x = 149,006 × 149,006
  4. Step 4: Simplify right side
    101,768x = 22,202,788,036
  5. Step 5: Solve for x
    x = 22,202,788,036/101,768
  6. Step 6: Final answer
    x = 218,170.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.