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Finding the Third Proportional to 84,032.25 and 182,192.25

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Solution

The third proportional to 84,032.25 and 182,192.25 is: 395,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,032.25 : 182,192.25 = 182,192.25 : x
  2. Step 2: Convert to fraction form
    84,032.25/182,192.25 = 182,192.25/x
  3. Step 3: Cross multiply
    84,032.25x = 182,192.25 × 182,192.25
  4. Step 4: Simplify right side
    84,032.25x = 33,194,015,960.06
  5. Step 5: Solve for x
    x = 33,194,015,960.06/84,032.25
  6. Step 6: Final answer
    x = 395,015.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.