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Finding the Third Proportional to 47,284 and 103,153

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Solution

The third proportional to 47,284 and 103,153 is: 225,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,284 : 103,153 = 103,153 : x
  2. Step 2: Convert to fraction form
    47,284/103,153 = 103,153/x
  3. Step 3: Cross multiply
    47,284x = 103,153 × 103,153
  4. Step 4: Simplify right side
    47,284x = 10,640,541,409
  5. Step 5: Solve for x
    x = 10,640,541,409/47,284
  6. Step 6: Final answer
    x = 225,034.71

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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.