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Finding the Third Proportional to 75,023 and 113,337

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Solution

The third proportional to 75,023 and 113,337 is: 171,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,023 : 113,337 = 113,337 : x
  2. Step 2: Convert to fraction form
    75,023/113,337 = 113,337/x
  3. Step 3: Cross multiply
    75,023x = 113,337 × 113,337
  4. Step 4: Simplify right side
    75,023x = 12,845,275,569
  5. Step 5: Solve for x
    x = 12,845,275,569/75,023
  6. Step 6: Final answer
    x = 171,217.83

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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.