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Finding the Third Proportional to 126,023 and 275,158

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Solution

The third proportional to 126,023 and 275,158 is: 600,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,023 : 275,158 = 275,158 : x
  2. Step 2: Convert to fraction form
    126,023/275,158 = 275,158/x
  3. Step 3: Cross multiply
    126,023x = 275,158 × 275,158
  4. Step 4: Simplify right side
    126,023x = 75,711,924,964
  5. Step 5: Solve for x
    x = 75,711,924,964/126,023
  6. Step 6: Final answer
    x = 600,778.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.