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Finding the Third Proportional to 51,121.13 and 75,223.69

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Solution

The third proportional to 51,121.13 and 75,223.69 is: 110,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,121.13 : 75,223.69 = 75,223.69 : x
  2. Step 2: Convert to fraction form
    51,121.13/75,223.69 = 75,223.69/x
  3. Step 3: Cross multiply
    51,121.13x = 75,223.69 × 75,223.69
  4. Step 4: Simplify right side
    51,121.13x = 5,658,603,161.10
  5. Step 5: Solve for x
    x = 5,658,603,161.10/51,121.13
  6. Step 6: Final answer
    x = 110,690.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.