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Finding the Third Proportional to 86,755 and 188,900

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Solution

The third proportional to 86,755 and 188,900 is: 411,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,755 : 188,900 = 188,900 : x
  2. Step 2: Convert to fraction form
    86,755/188,900 = 188,900/x
  3. Step 3: Cross multiply
    86,755x = 188,900 × 188,900
  4. Step 4: Simplify right side
    86,755x = 35,683,210,000
  5. Step 5: Solve for x
    x = 35,683,210,000/86,755
  6. Step 6: Final answer
    x = 411,310.13

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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.