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Finding the Third Proportional to 50,235.19 and 75,298.78

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Solution

The third proportional to 50,235.19 and 75,298.78 is: 112,867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,235.19 : 75,298.78 = 75,298.78 : x
  2. Step 2: Convert to fraction form
    50,235.19/75,298.78 = 75,298.78/x
  3. Step 3: Cross multiply
    50,235.19x = 75,298.78 × 75,298.78
  4. Step 4: Simplify right side
    50,235.19x = 5,669,906,457.74
  5. Step 5: Solve for x
    x = 5,669,906,457.74/50,235.19
  6. Step 6: Final answer
    x = 112,867.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.