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Finding the Third Proportional to 88,461 and 133,177

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Solution

The third proportional to 88,461 and 133,177 is: 200,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,461 : 133,177 = 133,177 : x
  2. Step 2: Convert to fraction form
    88,461/133,177 = 133,177/x
  3. Step 3: Cross multiply
    88,461x = 133,177 × 133,177
  4. Step 4: Simplify right side
    88,461x = 17,736,113,329
  5. Step 5: Solve for x
    x = 17,736,113,329/88,461
  6. Step 6: Final answer
    x = 200,496.41

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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.