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Finding the Third Proportional to 53,020.50 and 109,731

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Solution

The third proportional to 53,020.50 and 109,731 is: 227,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,020.50 : 109,731 = 109,731 : x
  2. Step 2: Convert to fraction form
    53,020.50/109,731 = 109,731/x
  3. Step 3: Cross multiply
    53,020.50x = 109,731 × 109,731
  4. Step 4: Simplify right side
    53,020.50x = 12,040,892,361
  5. Step 5: Solve for x
    x = 12,040,892,361/53,020.50
  6. Step 6: Final answer
    x = 227,098.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.