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Finding the Third Proportional to 49,145.63 and 75,151.13

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Solution

The third proportional to 49,145.63 and 75,151.13 is: 114,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,145.63 : 75,151.13 = 75,151.13 : x
  2. Step 2: Convert to fraction form
    49,145.63/75,151.13 = 75,151.13/x
  3. Step 3: Cross multiply
    49,145.63x = 75,151.13 × 75,151.13
  4. Step 4: Simplify right side
    49,145.63x = 5,647,691,588.77
  5. Step 5: Solve for x
    x = 5,647,691,588.77/49,145.63
  6. Step 6: Final answer
    x = 114,917.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.