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Finding the Third Proportional to 82,437.75 and 176,532.75

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Solution

The third proportional to 82,437.75 and 176,532.75 is: 378,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,437.75 : 176,532.75 = 176,532.75 : x
  2. Step 2: Convert to fraction form
    82,437.75/176,532.75 = 176,532.75/x
  3. Step 3: Cross multiply
    82,437.75x = 176,532.75 × 176,532.75
  4. Step 4: Simplify right side
    82,437.75x = 31,163,811,822.56
  5. Step 5: Solve for x
    x = 31,163,811,822.56/82,437.75
  6. Step 6: Final answer
    x = 378,028.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.