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Finding the Third Proportional to 75,456 and 165,424

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Solution

The third proportional to 75,456 and 165,424 is: 362,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456 : 165,424 = 165,424 : x
  2. Step 2: Convert to fraction form
    75,456/165,424 = 165,424/x
  3. Step 3: Cross multiply
    75,456x = 165,424 × 165,424
  4. Step 4: Simplify right side
    75,456x = 27,365,099,776
  5. Step 5: Solve for x
    x = 27,365,099,776/75,456
  6. Step 6: Final answer
    x = 362,663.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.