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Finding the Third Proportional to 47,610 and 103,149

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Solution

The third proportional to 47,610 and 103,149 is: 223,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,610 : 103,149 = 103,149 : x
  2. Step 2: Convert to fraction form
    47,610/103,149 = 103,149/x
  3. Step 3: Cross multiply
    47,610x = 103,149 × 103,149
  4. Step 4: Simplify right side
    47,610x = 10,639,716,201
  5. Step 5: Solve for x
    x = 10,639,716,201/47,610
  6. Step 6: Final answer
    x = 223,476.50

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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.