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Finding the Third Proportional to 74,436 and 113,394

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Solution

The third proportional to 74,436 and 113,394 is: 172,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,436 : 113,394 = 113,394 : x
  2. Step 2: Convert to fraction form
    74,436/113,394 = 113,394/x
  3. Step 3: Cross multiply
    74,436x = 113,394 × 113,394
  4. Step 4: Simplify right side
    74,436x = 12,858,199,236
  5. Step 5: Solve for x
    x = 12,858,199,236/74,436
  6. Step 6: Final answer
    x = 172,741.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.