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Finding the Third Proportional to 49,900.13 and 75,370.13

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Solution

The third proportional to 49,900.13 and 75,370.13 is: 113,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900.13 : 75,370.13 = 75,370.13 : x
  2. Step 2: Convert to fraction form
    49,900.13/75,370.13 = 75,370.13/x
  3. Step 3: Cross multiply
    49,900.13x = 75,370.13 × 75,370.13
  4. Step 4: Simplify right side
    49,900.13x = 5,680,655,742.52
  5. Step 5: Solve for x
    x = 5,680,655,742.52/49,900.13
  6. Step 6: Final answer
    x = 113,840.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.