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Finding the Third Proportional to 82,842.75 and 175,537.13

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Solution

The third proportional to 82,842.75 and 175,537.13 is: 371,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,842.75 : 175,537.13 = 175,537.13 : x
  2. Step 2: Convert to fraction form
    82,842.75/175,537.13 = 175,537.13/x
  3. Step 3: Cross multiply
    82,842.75x = 175,537.13 × 175,537.13
  4. Step 4: Simplify right side
    82,842.75x = 30,813,282,253.27
  5. Step 5: Solve for x
    x = 30,813,282,253.27/82,842.75
  6. Step 6: Final answer
    x = 371,949.05

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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.