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Finding the Third Proportional to 76,493.53 and 126,415.69

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Solution

The third proportional to 76,493.53 and 126,415.69 is: 208,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493.53 : 126,415.69 = 126,415.69 : x
  2. Step 2: Convert to fraction form
    76,493.53/126,415.69 = 126,415.69/x
  3. Step 3: Cross multiply
    76,493.53x = 126,415.69 × 126,415.69
  4. Step 4: Simplify right side
    76,493.53x = 15,980,926,046.10
  5. Step 5: Solve for x
    x = 15,980,926,046.10/76,493.53
  6. Step 6: Final answer
    x = 208,918.66

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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.