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Finding the Third Proportional to 89,050 and 190,372

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Solution

The third proportional to 89,050 and 190,372 is: 406,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,050 : 190,372 = 190,372 : x
  2. Step 2: Convert to fraction form
    89,050/190,372 = 190,372/x
  3. Step 3: Cross multiply
    89,050x = 190,372 × 190,372
  4. Step 4: Simplify right side
    89,050x = 36,241,498,384
  5. Step 5: Solve for x
    x = 36,241,498,384/89,050
  6. Step 6: Final answer
    x = 406,979.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.