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Finding the Third Proportional to 82,063.76 and 135,730.69

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Solution

The third proportional to 82,063.76 and 135,730.69 is: 224,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,063.76 : 135,730.69 = 135,730.69 : x
  2. Step 2: Convert to fraction form
    82,063.76/135,730.69 = 135,730.69/x
  3. Step 3: Cross multiply
    82,063.76x = 135,730.69 × 135,730.69
  4. Step 4: Simplify right side
    82,063.76x = 18,422,819,529.22
  5. Step 5: Solve for x
    x = 18,422,819,529.22/82,063.76
  6. Step 6: Final answer
    x = 224,493.98

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.