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Finding the Third Proportional to 117,005 and 181,502

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Solution

The third proportional to 117,005 and 181,502 is: 281,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,005 : 181,502 = 181,502 : x
  2. Step 2: Convert to fraction form
    117,005/181,502 = 181,502/x
  3. Step 3: Cross multiply
    117,005x = 181,502 × 181,502
  4. Step 4: Simplify right side
    117,005x = 32,942,976,004
  5. Step 5: Solve for x
    x = 32,942,976,004/117,005
  6. Step 6: Final answer
    x = 281,551.87

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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.