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Finding the Third Proportional to 88,619 and 132,349

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Solution

The third proportional to 88,619 and 132,349 is: 197,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,619 : 132,349 = 132,349 : x
  2. Step 2: Convert to fraction form
    88,619/132,349 = 132,349/x
  3. Step 3: Cross multiply
    88,619x = 132,349 × 132,349
  4. Step 4: Simplify right side
    88,619x = 17,516,257,801
  5. Step 5: Solve for x
    x = 17,516,257,801/88,619
  6. Step 6: Final answer
    x = 197,658.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.