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Finding the Third Proportional to 113,263 and 179,938

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Solution

The third proportional to 113,263 and 179,938 is: 285,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,263 : 179,938 = 179,938 : x
  2. Step 2: Convert to fraction form
    113,263/179,938 = 179,938/x
  3. Step 3: Cross multiply
    113,263x = 179,938 × 179,938
  4. Step 4: Simplify right side
    113,263x = 32,377,683,844
  5. Step 5: Solve for x
    x = 32,377,683,844/113,263
  6. Step 6: Final answer
    x = 285,862.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.