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Finding the Third Proportional to 50,149.13 and 76,210.88

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Solution

The third proportional to 50,149.13 and 76,210.88 is: 115,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,149.13 : 76,210.88 = 76,210.88 : x
  2. Step 2: Convert to fraction form
    50,149.13/76,210.88 = 76,210.88/x
  3. Step 3: Cross multiply
    50,149.13x = 76,210.88 × 76,210.88
  4. Step 4: Simplify right side
    50,149.13x = 5,808,097,468.27
  5. Step 5: Solve for x
    x = 5,808,097,468.27/50,149.13
  6. Step 6: Final answer
    x = 115,816.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.