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Finding the Third Proportional to 100,023 and 154,827

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Solution

The third proportional to 100,023 and 154,827 is: 239,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023 : 154,827 = 154,827 : x
  2. Step 2: Convert to fraction form
    100,023/154,827 = 154,827/x
  3. Step 3: Cross multiply
    100,023x = 154,827 × 154,827
  4. Step 4: Simplify right side
    100,023x = 23,971,399,929
  5. Step 5: Solve for x
    x = 23,971,399,929/100,023
  6. Step 6: Final answer
    x = 239,658.88

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