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Finding the Third Proportional to 59,850.84 and 128,521.69

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Solution

The third proportional to 59,850.84 and 128,521.69 is: 275,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,850.84 : 128,521.69 = 128,521.69 : x
  2. Step 2: Convert to fraction form
    59,850.84/128,521.69 = 128,521.69/x
  3. Step 3: Cross multiply
    59,850.84x = 128,521.69 × 128,521.69
  4. Step 4: Simplify right side
    59,850.84x = 16,517,824,157.85
  5. Step 5: Solve for x
    x = 16,517,824,157.85/59,850.84
  6. Step 6: Final answer
    x = 275,983.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.