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Finding the Third Proportional to 126,134 and 275,950

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Solution

The third proportional to 126,134 and 275,950 is: 603,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,134 : 275,950 = 275,950 : x
  2. Step 2: Convert to fraction form
    126,134/275,950 = 275,950/x
  3. Step 3: Cross multiply
    126,134x = 275,950 × 275,950
  4. Step 4: Simplify right side
    126,134x = 76,148,402,500
  5. Step 5: Solve for x
    x = 76,148,402,500/126,134
  6. Step 6: Final answer
    x = 603,710.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.