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Finding the Third Proportional to 86,456 and 188,060

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Solution

The third proportional to 86,456 and 188,060 is: 409,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,456 : 188,060 = 188,060 : x
  2. Step 2: Convert to fraction form
    86,456/188,060 = 188,060/x
  3. Step 3: Cross multiply
    86,456x = 188,060 × 188,060
  4. Step 4: Simplify right side
    86,456x = 35,366,563,600
  5. Step 5: Solve for x
    x = 35,366,563,600/86,456
  6. Step 6: Final answer
    x = 409,070.09

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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.