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Finding the Third Proportional to 47,650 and 104,516

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Solution

The third proportional to 47,650 and 104,516 is: 229,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650 : 104,516 = 104,516 : x
  2. Step 2: Convert to fraction form
    47,650/104,516 = 104,516/x
  3. Step 3: Cross multiply
    47,650x = 104,516 × 104,516
  4. Step 4: Simplify right side
    47,650x = 10,923,594,256
  5. Step 5: Solve for x
    x = 10,923,594,256/47,650
  6. Step 6: Final answer
    x = 229,246.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.