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Finding the Third Proportional to 114,214 and 181,881

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Solution

The third proportional to 114,214 and 181,881 is: 289,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,214 : 181,881 = 181,881 : x
  2. Step 2: Convert to fraction form
    114,214/181,881 = 181,881/x
  3. Step 3: Cross multiply
    114,214x = 181,881 × 181,881
  4. Step 4: Simplify right side
    114,214x = 33,080,698,161
  5. Step 5: Solve for x
    x = 33,080,698,161/114,214
  6. Step 6: Final answer
    x = 289,637.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.