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Finding the Third Proportional to 76,684 and 128,250

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Solution

The third proportional to 76,684 and 128,250 is: 214,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684 : 128,250 = 128,250 : x
  2. Step 2: Convert to fraction form
    76,684/128,250 = 128,250/x
  3. Step 3: Cross multiply
    76,684x = 128,250 × 128,250
  4. Step 4: Simplify right side
    76,684x = 16,448,062,500
  5. Step 5: Solve for x
    x = 16,448,062,500/76,684
  6. Step 6: Final answer
    x = 214,491.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.