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Finding the Third Proportional to 32,188 and 75,206

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Solution

The third proportional to 32,188 and 75,206 is: 175,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188 : 75,206 = 75,206 : x
  2. Step 2: Convert to fraction form
    32,188/75,206 = 75,206/x
  3. Step 3: Cross multiply
    32,188x = 75,206 × 75,206
  4. Step 4: Simplify right side
    32,188x = 5,655,942,436
  5. Step 5: Solve for x
    x = 5,655,942,436/32,188
  6. Step 6: Final answer
    x = 175,715.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.