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Finding the Third Proportional to 82,126.41 and 178,194.94

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Solution

The third proportional to 82,126.41 and 178,194.94 is: 386,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,126.41 : 178,194.94 = 178,194.94 : x
  2. Step 2: Convert to fraction form
    82,126.41/178,194.94 = 178,194.94/x
  3. Step 3: Cross multiply
    82,126.41x = 178,194.94 × 178,194.94
  4. Step 4: Simplify right side
    82,126.41x = 31,753,435,750.63
  5. Step 5: Solve for x
    x = 31,753,435,750.63/82,126.41
  6. Step 6: Final answer
    x = 386,641.00

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Why These Related Problems?

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