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Finding the Third Proportional to 87,754 and 190,084

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Solution

The third proportional to 87,754 and 190,084 is: 411,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,754 : 190,084 = 190,084 : x
  2. Step 2: Convert to fraction form
    87,754/190,084 = 190,084/x
  3. Step 3: Cross multiply
    87,754x = 190,084 × 190,084
  4. Step 4: Simplify right side
    87,754x = 36,131,927,056
  5. Step 5: Solve for x
    x = 36,131,927,056/87,754
  6. Step 6: Final answer
    x = 411,741.08

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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.