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Finding the Third Proportional to 88,120 and 186,286

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Solution

The third proportional to 88,120 and 186,286 is: 393,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,120 : 186,286 = 186,286 : x
  2. Step 2: Convert to fraction form
    88,120/186,286 = 186,286/x
  3. Step 3: Cross multiply
    88,120x = 186,286 × 186,286
  4. Step 4: Simplify right side
    88,120x = 34,702,473,796
  5. Step 5: Solve for x
    x = 34,702,473,796/88,120
  6. Step 6: Final answer
    x = 393,809.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.