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Finding the Third Proportional to 37,194 and 87,252

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Solution

The third proportional to 37,194 and 87,252 is: 204,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194 : 87,252 = 87,252 : x
  2. Step 2: Convert to fraction form
    37,194/87,252 = 87,252/x
  3. Step 3: Cross multiply
    37,194x = 87,252 × 87,252
  4. Step 4: Simplify right side
    37,194x = 7,612,911,504
  5. Step 5: Solve for x
    x = 7,612,911,504/37,194
  6. Step 6: Final answer
    x = 204,681.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.