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Finding the Third Proportional to 75,913.88 and 111,408.75

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Solution

The third proportional to 75,913.88 and 111,408.75 is: 163,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,913.88 : 111,408.75 = 111,408.75 : x
  2. Step 2: Convert to fraction form
    75,913.88/111,408.75 = 111,408.75/x
  3. Step 3: Cross multiply
    75,913.88x = 111,408.75 × 111,408.75
  4. Step 4: Simplify right side
    75,913.88x = 12,411,909,576.56
  5. Step 5: Solve for x
    x = 12,411,909,576.56/75,913.88
  6. Step 6: Final answer
    x = 163,499.88

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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.