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Finding the Third Proportional to 88,248 and 133,176

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Solution

The third proportional to 88,248 and 133,176 is: 200,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,248 : 133,176 = 133,176 : x
  2. Step 2: Convert to fraction form
    88,248/133,176 = 133,176/x
  3. Step 3: Cross multiply
    88,248x = 133,176 × 133,176
  4. Step 4: Simplify right side
    88,248x = 17,735,846,976
  5. Step 5: Solve for x
    x = 17,735,846,976/88,248
  6. Step 6: Final answer
    x = 200,977.32

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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.