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Finding the Third Proportional to 47,244 and 102,276

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Solution

The third proportional to 47,244 and 102,276 is: 221,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,244 : 102,276 = 102,276 : x
  2. Step 2: Convert to fraction form
    47,244/102,276 = 102,276/x
  3. Step 3: Cross multiply
    47,244x = 102,276 × 102,276
  4. Step 4: Simplify right side
    47,244x = 10,460,380,176
  5. Step 5: Solve for x
    x = 10,460,380,176/47,244
  6. Step 6: Final answer
    x = 221,411.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.