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Finding the Third Proportional to 63,234.98 and 137,623.92

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Solution

The third proportional to 63,234.98 and 137,623.92 is: 299,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,234.98 : 137,623.92 = 137,623.92 : x
  2. Step 2: Convert to fraction form
    63,234.98/137,623.92 = 137,623.92/x
  3. Step 3: Cross multiply
    63,234.98x = 137,623.92 × 137,623.92
  4. Step 4: Simplify right side
    63,234.98x = 18,940,343,872.26
  5. Step 5: Solve for x
    x = 18,940,343,872.26/63,234.98
  6. Step 6: Final answer
    x = 299,523.18

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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.