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Finding the Third Proportional to 72,504 and 102,103.13

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Solution

The third proportional to 72,504 and 102,103.13 is: 143,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,504 : 102,103.13 = 102,103.13 : x
  2. Step 2: Convert to fraction form
    72,504/102,103.13 = 102,103.13/x
  3. Step 3: Cross multiply
    72,504x = 102,103.13 × 102,103.13
  4. Step 4: Simplify right side
    72,504x = 10,425,048,134.77
  5. Step 5: Solve for x
    x = 10,425,048,134.77/72,504
  6. Step 6: Final answer
    x = 143,785.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.