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Finding the Third Proportional to 88,655 and 132,982

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Solution

The third proportional to 88,655 and 132,982 is: 199,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,655 : 132,982 = 132,982 : x
  2. Step 2: Convert to fraction form
    88,655/132,982 = 132,982/x
  3. Step 3: Cross multiply
    88,655x = 132,982 × 132,982
  4. Step 4: Simplify right side
    88,655x = 17,684,212,324
  5. Step 5: Solve for x
    x = 17,684,212,324/88,655
  6. Step 6: Final answer
    x = 199,472.25

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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.