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Finding the Third Proportional to 47,709 and 103,619

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Solution

The third proportional to 47,709 and 103,619 is: 225,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709 : 103,619 = 103,619 : x
  2. Step 2: Convert to fraction form
    47,709/103,619 = 103,619/x
  3. Step 3: Cross multiply
    47,709x = 103,619 × 103,619
  4. Step 4: Simplify right side
    47,709x = 10,736,897,161
  5. Step 5: Solve for x
    x = 10,736,897,161/47,709
  6. Step 6: Final answer
    x = 225,049.72

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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.