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Finding the Third Proportional to 117,214 and 181,613

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Solution

The third proportional to 117,214 and 181,613 is: 281,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,214 : 181,613 = 181,613 : x
  2. Step 2: Convert to fraction form
    117,214/181,613 = 181,613/x
  3. Step 3: Cross multiply
    117,214x = 181,613 × 181,613
  4. Step 4: Simplify right side
    117,214x = 32,983,281,769
  5. Step 5: Solve for x
    x = 32,983,281,769/117,214
  6. Step 6: Final answer
    x = 281,393.71

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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.