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Finding the Third Proportional to 97,422 and 132,021

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Solution

The third proportional to 97,422 and 132,021 is: 178,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,422 : 132,021 = 132,021 : x
  2. Step 2: Convert to fraction form
    97,422/132,021 = 132,021/x
  3. Step 3: Cross multiply
    97,422x = 132,021 × 132,021
  4. Step 4: Simplify right side
    97,422x = 17,429,544,441
  5. Step 5: Solve for x
    x = 17,429,544,441/97,422
  6. Step 6: Final answer
    x = 178,907.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.