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Finding the Third Proportional to 75,654 and 164,412

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Solution

The third proportional to 75,654 and 164,412 is: 357,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,654 : 164,412 = 164,412 : x
  2. Step 2: Convert to fraction form
    75,654/164,412 = 164,412/x
  3. Step 3: Cross multiply
    75,654x = 164,412 × 164,412
  4. Step 4: Simplify right side
    75,654x = 27,031,305,744
  5. Step 5: Solve for x
    x = 27,031,305,744/75,654
  6. Step 6: Final answer
    x = 357,301.74

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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.