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Finding the Third Proportional to 53,601.75 and 120,861

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Solution

The third proportional to 53,601.75 and 120,861 is: 272,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,601.75 : 120,861 = 120,861 : x
  2. Step 2: Convert to fraction form
    53,601.75/120,861 = 120,861/x
  3. Step 3: Cross multiply
    53,601.75x = 120,861 × 120,861
  4. Step 4: Simplify right side
    53,601.75x = 14,607,381,321
  5. Step 5: Solve for x
    x = 14,607,381,321/53,601.75
  6. Step 6: Final answer
    x = 272,516.87

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.