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Finding the Third Proportional to 134,181 and 186,012

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Solution

The third proportional to 134,181 and 186,012 is: 257,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,181 : 186,012 = 186,012 : x
  2. Step 2: Convert to fraction form
    134,181/186,012 = 186,012/x
  3. Step 3: Cross multiply
    134,181x = 186,012 × 186,012
  4. Step 4: Simplify right side
    134,181x = 34,600,464,144
  5. Step 5: Solve for x
    x = 34,600,464,144/134,181
  6. Step 6: Final answer
    x = 257,864.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.