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Finding the Third Proportional to 86,582 and 186,538

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Solution

The third proportional to 86,582 and 186,538 is: 401,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582 : 186,538 = 186,538 : x
  2. Step 2: Convert to fraction form
    86,582/186,538 = 186,538/x
  3. Step 3: Cross multiply
    86,582x = 186,538 × 186,538
  4. Step 4: Simplify right side
    86,582x = 34,796,425,444
  5. Step 5: Solve for x
    x = 34,796,425,444/86,582
  6. Step 6: Final answer
    x = 401,889.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.