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Finding the Third Proportional to 75,163 and 174,786

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Solution

The third proportional to 75,163 and 174,786 is: 406,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,163 : 174,786 = 174,786 : x
  2. Step 2: Convert to fraction form
    75,163/174,786 = 174,786/x
  3. Step 3: Cross multiply
    75,163x = 174,786 × 174,786
  4. Step 4: Simplify right side
    75,163x = 30,550,145,796
  5. Step 5: Solve for x
    x = 30,550,145,796/75,163
  6. Step 6: Final answer
    x = 406,451.92

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.