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Finding the Third Proportional to 57,474 and 89,703

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Solution

The third proportional to 57,474 and 89,703 is: 140,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,474 : 89,703 = 89,703 : x
  2. Step 2: Convert to fraction form
    57,474/89,703 = 89,703/x
  3. Step 3: Cross multiply
    57,474x = 89,703 × 89,703
  4. Step 4: Simplify right side
    57,474x = 8,046,628,209
  5. Step 5: Solve for x
    x = 8,046,628,209/57,474
  6. Step 6: Final answer
    x = 140,004.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.