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Finding the Third Proportional to 87,633 and 190,029

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Solution

The third proportional to 87,633 and 190,029 is: 412,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,633 : 190,029 = 190,029 : x
  2. Step 2: Convert to fraction form
    87,633/190,029 = 190,029/x
  3. Step 3: Cross multiply
    87,633x = 190,029 × 190,029
  4. Step 4: Simplify right side
    87,633x = 36,111,020,841
  5. Step 5: Solve for x
    x = 36,111,020,841/87,633
  6. Step 6: Final answer
    x = 412,071.03

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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.