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Finding the Third Proportional to 75,921 and 164,361

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Solution

The third proportional to 75,921 and 164,361 is: 355,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,921 : 164,361 = 164,361 : x
  2. Step 2: Convert to fraction form
    75,921/164,361 = 164,361/x
  3. Step 3: Cross multiply
    75,921x = 164,361 × 164,361
  4. Step 4: Simplify right side
    75,921x = 27,014,538,321
  5. Step 5: Solve for x
    x = 27,014,538,321/75,921
  6. Step 6: Final answer
    x = 355,824.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.