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Finding the Third Proportional to 86,541 and 187,844

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Solution

The third proportional to 86,541 and 187,844 is: 407,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,541 : 187,844 = 187,844 : x
  2. Step 2: Convert to fraction form
    86,541/187,844 = 187,844/x
  3. Step 3: Cross multiply
    86,541x = 187,844 × 187,844
  4. Step 4: Simplify right side
    86,541x = 35,285,368,336
  5. Step 5: Solve for x
    x = 35,285,368,336/86,541
  6. Step 6: Final answer
    x = 407,730.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.