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Finding the Third Proportional to 100,024 and 154,774

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Solution

The third proportional to 100,024 and 154,774 is: 239,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024 : 154,774 = 154,774 : x
  2. Step 2: Convert to fraction form
    100,024/154,774 = 154,774/x
  3. Step 3: Cross multiply
    100,024x = 154,774 × 154,774
  4. Step 4: Simplify right side
    100,024x = 23,954,991,076
  5. Step 5: Solve for x
    x = 23,954,991,076/100,024
  6. Step 6: Final answer
    x = 239,492.43

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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.