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Finding the Third Proportional to 75,929 and 113,266

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Solution

The third proportional to 75,929 and 113,266 is: 168,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,929 : 113,266 = 113,266 : x
  2. Step 2: Convert to fraction form
    75,929/113,266 = 113,266/x
  3. Step 3: Cross multiply
    75,929x = 113,266 × 113,266
  4. Step 4: Simplify right side
    75,929x = 12,829,186,756
  5. Step 5: Solve for x
    x = 12,829,186,756/75,929
  6. Step 6: Final answer
    x = 168,962.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.