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Finding the Third Proportional to 102,794 and 149,816

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Solution

The third proportional to 102,794 and 149,816 is: 218,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,794 : 149,816 = 149,816 : x
  2. Step 2: Convert to fraction form
    102,794/149,816 = 149,816/x
  3. Step 3: Cross multiply
    102,794x = 149,816 × 149,816
  4. Step 4: Simplify right side
    102,794x = 22,444,833,856
  5. Step 5: Solve for x
    x = 22,444,833,856/102,794
  6. Step 6: Final answer
    x = 218,347.70

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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.