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Finding the Third Proportional to 126,772.59 and 197,426.11

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Solution

The third proportional to 126,772.59 and 197,426.11 is: 307,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,772.59 : 197,426.11 = 197,426.11 : x
  2. Step 2: Convert to fraction form
    126,772.59/197,426.11 = 197,426.11/x
  3. Step 3: Cross multiply
    126,772.59x = 197,426.11 × 197,426.11
  4. Step 4: Simplify right side
    126,772.59x = 38,977,068,662.95
  5. Step 5: Solve for x
    x = 38,977,068,662.95/126,772.59
  6. Step 6: Final answer
    x = 307,456.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.