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Finding the Third Proportional to 75,468 and 164,040

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Solution

The third proportional to 75,468 and 164,040 is: 356,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468 : 164,040 = 164,040 : x
  2. Step 2: Convert to fraction form
    75,468/164,040 = 164,040/x
  3. Step 3: Cross multiply
    75,468x = 164,040 × 164,040
  4. Step 4: Simplify right side
    75,468x = 26,909,121,600
  5. Step 5: Solve for x
    x = 26,909,121,600/75,468
  6. Step 6: Final answer
    x = 356,563.33

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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.