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Finding the Third Proportional to 70,472 and 103,372

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Solution

The third proportional to 70,472 and 103,372 is: 151,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472 : 103,372 = 103,372 : x
  2. Step 2: Convert to fraction form
    70,472/103,372 = 103,372/x
  3. Step 3: Cross multiply
    70,472x = 103,372 × 103,372
  4. Step 4: Simplify right side
    70,472x = 10,685,770,384
  5. Step 5: Solve for x
    x = 10,685,770,384/70,472
  6. Step 6: Final answer
    x = 151,631.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.