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Finding the Third Proportional to 86,146 and 182,729

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Solution

The third proportional to 86,146 and 182,729 is: 387,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,146 : 182,729 = 182,729 : x
  2. Step 2: Convert to fraction form
    86,146/182,729 = 182,729/x
  3. Step 3: Cross multiply
    86,146x = 182,729 × 182,729
  4. Step 4: Simplify right side
    86,146x = 33,389,887,441
  5. Step 5: Solve for x
    x = 33,389,887,441/86,146
  6. Step 6: Final answer
    x = 387,596.49

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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.