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Finding the Third Proportional to 87,619 and 132,014

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Solution

The third proportional to 87,619 and 132,014 is: 198,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,619 : 132,014 = 132,014 : x
  2. Step 2: Convert to fraction form
    87,619/132,014 = 132,014/x
  3. Step 3: Cross multiply
    87,619x = 132,014 × 132,014
  4. Step 4: Simplify right side
    87,619x = 17,427,696,196
  5. Step 5: Solve for x
    x = 17,427,696,196/87,619
  6. Step 6: Final answer
    x = 198,903.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.