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Finding the Third Proportional to 87,294 and 190,144

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Solution

The third proportional to 87,294 and 190,144 is: 414,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,294 : 190,144 = 190,144 : x
  2. Step 2: Convert to fraction form
    87,294/190,144 = 190,144/x
  3. Step 3: Cross multiply
    87,294x = 190,144 × 190,144
  4. Step 4: Simplify right side
    87,294x = 36,154,740,736
  5. Step 5: Solve for x
    x = 36,154,740,736/87,294
  6. Step 6: Final answer
    x = 414,172.12

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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.