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Finding the Third Proportional to 88,328 and 132,155

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Solution

The third proportional to 88,328 and 132,155 is: 197,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,328 : 132,155 = 132,155 : x
  2. Step 2: Convert to fraction form
    88,328/132,155 = 132,155/x
  3. Step 3: Cross multiply
    88,328x = 132,155 × 132,155
  4. Step 4: Simplify right side
    88,328x = 17,464,944,025
  5. Step 5: Solve for x
    x = 17,464,944,025/88,328
  6. Step 6: Final answer
    x = 197,728.29

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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.