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Finding the Third Proportional to 86,950 and 183,239

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Solution

The third proportional to 86,950 and 183,239 is: 386,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,950 : 183,239 = 183,239 : x
  2. Step 2: Convert to fraction form
    86,950/183,239 = 183,239/x
  3. Step 3: Cross multiply
    86,950x = 183,239 × 183,239
  4. Step 4: Simplify right side
    86,950x = 33,576,531,121
  5. Step 5: Solve for x
    x = 33,576,531,121/86,950
  6. Step 6: Final answer
    x = 386,159.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.