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Finding the Third Proportional to 117,233 and 181,641

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Solution

The third proportional to 117,233 and 181,641 is: 281,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,233 : 181,641 = 181,641 : x
  2. Step 2: Convert to fraction form
    117,233/181,641 = 181,641/x
  3. Step 3: Cross multiply
    117,233x = 181,641 × 181,641
  4. Step 4: Simplify right side
    117,233x = 32,993,452,881
  5. Step 5: Solve for x
    x = 32,993,452,881/117,233
  6. Step 6: Final answer
    x = 281,434.86

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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.