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Finding the Third Proportional to 97,427 and 132,028

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Solution

The third proportional to 97,427 and 132,028 is: 178,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,427 : 132,028 = 132,028 : x
  2. Step 2: Convert to fraction form
    97,427/132,028 = 132,028/x
  3. Step 3: Cross multiply
    97,427x = 132,028 × 132,028
  4. Step 4: Simplify right side
    97,427x = 17,431,392,784
  5. Step 5: Solve for x
    x = 17,431,392,784/97,427
  6. Step 6: Final answer
    x = 178,917.47

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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.