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Finding the Third Proportional to 75,981 and 164,841

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Solution

The third proportional to 75,981 and 164,841 is: 357,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,981 : 164,841 = 164,841 : x
  2. Step 2: Convert to fraction form
    75,981/164,841 = 164,841/x
  3. Step 3: Cross multiply
    75,981x = 164,841 × 164,841
  4. Step 4: Simplify right side
    75,981x = 27,172,555,281
  5. Step 5: Solve for x
    x = 27,172,555,281/75,981
  6. Step 6: Final answer
    x = 357,623.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.