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Finding the Third Proportional to 134,168 and 181,569

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Solution

The third proportional to 134,168 and 181,569 is: 245,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,168 : 181,569 = 181,569 : x
  2. Step 2: Convert to fraction form
    134,168/181,569 = 181,569/x
  3. Step 3: Cross multiply
    134,168x = 181,569 × 181,569
  4. Step 4: Simplify right side
    134,168x = 32,967,301,761
  5. Step 5: Solve for x
    x = 32,967,301,761/134,168
  6. Step 6: Final answer
    x = 245,716.58

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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.