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Finding the Third Proportional to 75,930 and 113,278

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Solution

The third proportional to 75,930 and 113,278 is: 168,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,930 : 113,278 = 113,278 : x
  2. Step 2: Convert to fraction form
    75,930/113,278 = 113,278/x
  3. Step 3: Cross multiply
    75,930x = 113,278 × 113,278
  4. Step 4: Simplify right side
    75,930x = 12,831,905,284
  5. Step 5: Solve for x
    x = 12,831,905,284/75,930
  6. Step 6: Final answer
    x = 168,996.51

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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.