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Finding the Third Proportional to 47,340 and 102,058

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Solution

The third proportional to 47,340 and 102,058 is: 220,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340 : 102,058 = 102,058 : x
  2. Step 2: Convert to fraction form
    47,340/102,058 = 102,058/x
  3. Step 3: Cross multiply
    47,340x = 102,058 × 102,058
  4. Step 4: Simplify right side
    47,340x = 10,415,835,364
  5. Step 5: Solve for x
    x = 10,415,835,364/47,340
  6. Step 6: Final answer
    x = 220,021.87

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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.