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Finding the Third Proportional to 35,105 and 75,829

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Solution

The third proportional to 35,105 and 75,829 is: 163,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,105 : 75,829 = 75,829 : x
  2. Step 2: Convert to fraction form
    35,105/75,829 = 75,829/x
  3. Step 3: Cross multiply
    35,105x = 75,829 × 75,829
  4. Step 4: Simplify right side
    35,105x = 5,750,037,241
  5. Step 5: Solve for x
    x = 5,750,037,241/35,105
  6. Step 6: Final answer
    x = 163,795.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.