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Finding the Third Proportional to 100,017 and 154,818

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Solution

The third proportional to 100,017 and 154,818 is: 239,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,017 : 154,818 = 154,818 : x
  2. Step 2: Convert to fraction form
    100,017/154,818 = 154,818/x
  3. Step 3: Cross multiply
    100,017x = 154,818 × 154,818
  4. Step 4: Simplify right side
    100,017x = 23,968,613,124
  5. Step 5: Solve for x
    x = 23,968,613,124/100,017
  6. Step 6: Final answer
    x = 239,645.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.