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Finding the Third Proportional to 82,058.63 and 178,122.09

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Solution

The third proportional to 82,058.63 and 178,122.09 is: 386,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,058.63 : 178,122.09 = 178,122.09 : x
  2. Step 2: Convert to fraction form
    82,058.63/178,122.09 = 178,122.09/x
  3. Step 3: Cross multiply
    82,058.63x = 178,122.09 × 178,122.09
  4. Step 4: Simplify right side
    82,058.63x = 31,727,480,281.88
  5. Step 5: Solve for x
    x = 31,727,480,281.88/82,058.63
  6. Step 6: Final answer
    x = 386,644.06

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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.