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Finding the Third Proportional to 86,370 and 183,036

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Solution

The third proportional to 86,370 and 183,036 is: 387,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,370 : 183,036 = 183,036 : x
  2. Step 2: Convert to fraction form
    86,370/183,036 = 183,036/x
  3. Step 3: Cross multiply
    86,370x = 183,036 × 183,036
  4. Step 4: Simplify right side
    86,370x = 33,502,177,296
  5. Step 5: Solve for x
    x = 33,502,177,296/86,370
  6. Step 6: Final answer
    x = 387,891.37

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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.