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Finding the Third Proportional to 117,090 and 181,134

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Solution

The third proportional to 117,090 and 181,134 is: 280,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,090 : 181,134 = 181,134 : x
  2. Step 2: Convert to fraction form
    117,090/181,134 = 181,134/x
  3. Step 3: Cross multiply
    117,090x = 181,134 × 181,134
  4. Step 4: Simplify right side
    117,090x = 32,809,525,956
  5. Step 5: Solve for x
    x = 32,809,525,956/117,090
  6. Step 6: Final answer
    x = 280,207.75

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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.