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Finding the Third Proportional to 87,486 and 191,010

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Solution

The third proportional to 87,486 and 191,010 is: 417,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,486 : 191,010 = 191,010 : x
  2. Step 2: Convert to fraction form
    87,486/191,010 = 191,010/x
  3. Step 3: Cross multiply
    87,486x = 191,010 × 191,010
  4. Step 4: Simplify right side
    87,486x = 36,484,820,100
  5. Step 5: Solve for x
    x = 36,484,820,100/87,486
  6. Step 6: Final answer
    x = 417,036.10

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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.