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Finding the Third Proportional to 73,588 and 113,917

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Solution

The third proportional to 73,588 and 113,917 is: 176,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,588 : 113,917 = 113,917 : x
  2. Step 2: Convert to fraction form
    73,588/113,917 = 113,917/x
  3. Step 3: Cross multiply
    73,588x = 113,917 × 113,917
  4. Step 4: Simplify right side
    73,588x = 12,977,082,889
  5. Step 5: Solve for x
    x = 12,977,082,889/73,588
  6. Step 6: Final answer
    x = 176,347.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.