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Finding the Third Proportional to 59,772.94 and 128,764.69

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Solution

The third proportional to 59,772.94 and 128,764.69 is: 277,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,772.94 : 128,764.69 = 128,764.69 : x
  2. Step 2: Convert to fraction form
    59,772.94/128,764.69 = 128,764.69/x
  3. Step 3: Cross multiply
    59,772.94x = 128,764.69 × 128,764.69
  4. Step 4: Simplify right side
    59,772.94x = 16,580,344,746.97
  5. Step 5: Solve for x
    x = 16,580,344,746.97/59,772.94
  6. Step 6: Final answer
    x = 277,388.82

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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.