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Finding the Third Proportional to 88,288 and 132,628

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Solution

The third proportional to 88,288 and 132,628 is: 199,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,288 : 132,628 = 132,628 : x
  2. Step 2: Convert to fraction form
    88,288/132,628 = 132,628/x
  3. Step 3: Cross multiply
    88,288x = 132,628 × 132,628
  4. Step 4: Simplify right side
    88,288x = 17,590,186,384
  5. Step 5: Solve for x
    x = 17,590,186,384/88,288
  6. Step 6: Final answer
    x = 199,236.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.