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Finding the Third Proportional to 87,523 and 190,886

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Solution

The third proportional to 87,523 and 190,886 is: 416,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,523 : 190,886 = 190,886 : x
  2. Step 2: Convert to fraction form
    87,523/190,886 = 190,886/x
  3. Step 3: Cross multiply
    87,523x = 190,886 × 190,886
  4. Step 4: Simplify right side
    87,523x = 36,437,464,996
  5. Step 5: Solve for x
    x = 36,437,464,996/87,523
  6. Step 6: Final answer
    x = 416,318.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.