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Finding the Third Proportional to 60,535.13 and 119,516.63

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Solution

The third proportional to 60,535.13 and 119,516.63 is: 235,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,535.13 : 119,516.63 = 119,516.63 : x
  2. Step 2: Convert to fraction form
    60,535.13/119,516.63 = 119,516.63/x
  3. Step 3: Cross multiply
    60,535.13x = 119,516.63 × 119,516.63
  4. Step 4: Simplify right side
    60,535.13x = 14,284,223,651.39
  5. Step 5: Solve for x
    x = 14,284,223,651.39/60,535.13
  6. Step 6: Final answer
    x = 235,965.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.