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Finding the Third Proportional to 134,144 and 181,533

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Solution

The third proportional to 134,144 and 181,533 is: 245,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,144 : 181,533 = 181,533 : x
  2. Step 2: Convert to fraction form
    134,144/181,533 = 181,533/x
  3. Step 3: Cross multiply
    134,144x = 181,533 × 181,533
  4. Step 4: Simplify right side
    134,144x = 32,954,230,089
  5. Step 5: Solve for x
    x = 32,954,230,089/134,144
  6. Step 6: Final answer
    x = 245,663.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.