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Finding the Third Proportional to 101,768 and 181,664

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Solution

The third proportional to 101,768 and 181,664 is: 324,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,768 : 181,664 = 181,664 : x
  2. Step 2: Convert to fraction form
    101,768/181,664 = 181,664/x
  3. Step 3: Cross multiply
    101,768x = 181,664 × 181,664
  4. Step 4: Simplify right side
    101,768x = 33,001,808,896
  5. Step 5: Solve for x
    x = 33,001,808,896/101,768
  6. Step 6: Final answer
    x = 324,284.73

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.