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Finding the Third Proportional to 126,738 and 237,508.88

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Solution

The third proportional to 126,738 and 237,508.88 is: 445,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,738 : 237,508.88 = 237,508.88 : x
  2. Step 2: Convert to fraction form
    126,738/237,508.88 = 237,508.88/x
  3. Step 3: Cross multiply
    126,738x = 237,508.88 × 237,508.88
  4. Step 4: Simplify right side
    126,738x = 56,410,465,703.77
  5. Step 5: Solve for x
    x = 56,410,465,703.77/126,738
  6. Step 6: Final answer
    x = 445,095.12

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.