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Finding the Third Proportional to 82,954.13 and 178,215.19

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Solution

The third proportional to 82,954.13 and 178,215.19 is: 382,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.13 : 178,215.19 = 178,215.19 : x
  2. Step 2: Convert to fraction form
    82,954.13/178,215.19 = 178,215.19/x
  3. Step 3: Cross multiply
    82,954.13x = 178,215.19 × 178,215.19
  4. Step 4: Simplify right side
    82,954.13x = 31,760,653,055.66
  5. Step 5: Solve for x
    x = 31,760,653,055.66/82,954.13
  6. Step 6: Final answer
    x = 382,870.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.