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Finding the Third Proportional to 117,170 and 181,581

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Solution

The third proportional to 117,170 and 181,581 is: 281,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,170 : 181,581 = 181,581 : x
  2. Step 2: Convert to fraction form
    117,170/181,581 = 181,581/x
  3. Step 3: Cross multiply
    117,170x = 181,581 × 181,581
  4. Step 4: Simplify right side
    117,170x = 32,971,659,561
  5. Step 5: Solve for x
    x = 32,971,659,561/117,170
  6. Step 6: Final answer
    x = 281,400.18

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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.