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Finding the Third Proportional to 87,532 and 190,904

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Solution

The third proportional to 87,532 and 190,904 is: 416,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,532 : 190,904 = 190,904 : x
  2. Step 2: Convert to fraction form
    87,532/190,904 = 190,904/x
  3. Step 3: Cross multiply
    87,532x = 190,904 × 190,904
  4. Step 4: Simplify right side
    87,532x = 36,444,337,216
  5. Step 5: Solve for x
    x = 36,444,337,216/87,532
  6. Step 6: Final answer
    x = 416,354.44

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