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Finding the Third Proportional to 82,755.84 and 175,442.84

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Solution

The third proportional to 82,755.84 and 175,442.84 is: 371,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,755.84 : 175,442.84 = 175,442.84 : x
  2. Step 2: Convert to fraction form
    82,755.84/175,442.84 = 175,442.84/x
  3. Step 3: Cross multiply
    82,755.84x = 175,442.84 × 175,442.84
  4. Step 4: Simplify right side
    82,755.84x = 30,780,188,681.79
  5. Step 5: Solve for x
    x = 30,780,188,681.79/82,755.84
  6. Step 6: Final answer
    x = 371,939.76

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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.