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Finding the Third Proportional to 122,769 and 185,816

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Solution

The third proportional to 122,769 and 185,816 is: 281,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,769 : 185,816 = 185,816 : x
  2. Step 2: Convert to fraction form
    122,769/185,816 = 185,816/x
  3. Step 3: Cross multiply
    122,769x = 185,816 × 185,816
  4. Step 4: Simplify right side
    122,769x = 34,527,585,856
  5. Step 5: Solve for x
    x = 34,527,585,856/122,769
  6. Step 6: Final answer
    x = 281,240.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.