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Finding the Third Proportional to 74,556 and 113,778

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Solution

The third proportional to 74,556 and 113,778 is: 173,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,556 : 113,778 = 113,778 : x
  2. Step 2: Convert to fraction form
    74,556/113,778 = 113,778/x
  3. Step 3: Cross multiply
    74,556x = 113,778 × 113,778
  4. Step 4: Simplify right side
    74,556x = 12,945,433,284
  5. Step 5: Solve for x
    x = 12,945,433,284/74,556
  6. Step 6: Final answer
    x = 173,633.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.