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Finding the Third Proportional to 88,272 and 191,286

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Solution

The third proportional to 88,272 and 191,286 is: 414,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,272 : 191,286 = 191,286 : x
  2. Step 2: Convert to fraction form
    88,272/191,286 = 191,286/x
  3. Step 3: Cross multiply
    88,272x = 191,286 × 191,286
  4. Step 4: Simplify right side
    88,272x = 36,590,333,796
  5. Step 5: Solve for x
    x = 36,590,333,796/88,272
  6. Step 6: Final answer
    x = 414,518.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.