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Finding the Third Proportional to 49,889.75 and 75,353

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Solution

The third proportional to 49,889.75 and 75,353 is: 113,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,889.75 : 75,353 = 75,353 : x
  2. Step 2: Convert to fraction form
    49,889.75/75,353 = 75,353/x
  3. Step 3: Cross multiply
    49,889.75x = 75,353 × 75,353
  4. Step 4: Simplify right side
    49,889.75x = 5,678,074,609
  5. Step 5: Solve for x
    x = 5,678,074,609/49,889.75
  6. Step 6: Final answer
    x = 113,812.45

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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.