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Finding the Third Proportional to 47,617 and 103,685

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Solution

The third proportional to 47,617 and 103,685 is: 225,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,617 : 103,685 = 103,685 : x
  2. Step 2: Convert to fraction form
    47,617/103,685 = 103,685/x
  3. Step 3: Cross multiply
    47,617x = 103,685 × 103,685
  4. Step 4: Simplify right side
    47,617x = 10,750,579,225
  5. Step 5: Solve for x
    x = 10,750,579,225/47,617
  6. Step 6: Final answer
    x = 225,771.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.