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Finding the Third Proportional to 60,103.69 and 128,251.69

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Solution

The third proportional to 60,103.69 and 128,251.69 is: 273,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,103.69 : 128,251.69 = 128,251.69 : x
  2. Step 2: Convert to fraction form
    60,103.69/128,251.69 = 128,251.69/x
  3. Step 3: Cross multiply
    60,103.69x = 128,251.69 × 128,251.69
  4. Step 4: Simplify right side
    60,103.69x = 16,448,495,346.60
  5. Step 5: Solve for x
    x = 16,448,495,346.60/60,103.69
  6. Step 6: Final answer
    x = 273,668.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.