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Finding the Third Proportional to 50,524.13 and 84,210.19

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Solution

The third proportional to 50,524.13 and 84,210.19 is: 140,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,524.13 : 84,210.19 = 84,210.19 : x
  2. Step 2: Convert to fraction form
    50,524.13/84,210.19 = 84,210.19/x
  3. Step 3: Cross multiply
    50,524.13x = 84,210.19 × 84,210.19
  4. Step 4: Simplify right side
    50,524.13x = 7,091,355,678.79
  5. Step 5: Solve for x
    x = 7,091,355,678.79/50,524.13
  6. Step 6: Final answer
    x = 140,355.83

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.