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Finding the Third Proportional to 47,695 and 103,598

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Solution

The third proportional to 47,695 and 103,598 is: 225,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695 : 103,598 = 103,598 : x
  2. Step 2: Convert to fraction form
    47,695/103,598 = 103,598/x
  3. Step 3: Cross multiply
    47,695x = 103,598 × 103,598
  4. Step 4: Simplify right side
    47,695x = 10,732,545,604
  5. Step 5: Solve for x
    x = 10,732,545,604/47,695
  6. Step 6: Final answer
    x = 225,024.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.