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Finding the Third Proportional to 50,715 and 108,465.75

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Solution

The third proportional to 50,715 and 108,465.75 is: 231,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,715 : 108,465.75 = 108,465.75 : x
  2. Step 2: Convert to fraction form
    50,715/108,465.75 = 108,465.75/x
  3. Step 3: Cross multiply
    50,715x = 108,465.75 × 108,465.75
  4. Step 4: Simplify right side
    50,715x = 11,764,818,923.06
  5. Step 5: Solve for x
    x = 11,764,818,923.06/50,715
  6. Step 6: Final answer
    x = 231,979.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.