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Finding the Third Proportional to 84,376.05 and 123,232.32

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Solution

The third proportional to 84,376.05 and 123,232.32 is: 179,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,376.05 : 123,232.32 = 123,232.32 : x
  2. Step 2: Convert to fraction form
    84,376.05/123,232.32 = 123,232.32/x
  3. Step 3: Cross multiply
    84,376.05x = 123,232.32 × 123,232.32
  4. Step 4: Simplify right side
    84,376.05x = 15,186,205,732.36
  5. Step 5: Solve for x
    x = 15,186,205,732.36/84,376.05
  6. Step 6: Final answer
    x = 179,982.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.