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Finding the Third Proportional to 86,148 and 182,524

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Solution

The third proportional to 86,148 and 182,524 is: 386,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,148 : 182,524 = 182,524 : x
  2. Step 2: Convert to fraction form
    86,148/182,524 = 182,524/x
  3. Step 3: Cross multiply
    86,148x = 182,524 × 182,524
  4. Step 4: Simplify right side
    86,148x = 33,315,010,576
  5. Step 5: Solve for x
    x = 33,315,010,576/86,148
  6. Step 6: Final answer
    x = 386,718.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.