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Finding the Third Proportional to 76,461.47 and 126,367.59

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Solution

The third proportional to 76,461.47 and 126,367.59 is: 208,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,461.47 : 126,367.59 = 126,367.59 : x
  2. Step 2: Convert to fraction form
    76,461.47/126,367.59 = 126,367.59/x
  3. Step 3: Cross multiply
    76,461.47x = 126,367.59 × 126,367.59
  4. Step 4: Simplify right side
    76,461.47x = 15,968,768,750.17
  5. Step 5: Solve for x
    x = 15,968,768,750.17/76,461.47
  6. Step 6: Final answer
    x = 208,847.27

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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.