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Finding the Third Proportional to 47,103 and 98,040

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Solution

The third proportional to 47,103 and 98,040 is: 204,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,103 : 98,040 = 98,040 : x
  2. Step 2: Convert to fraction form
    47,103/98,040 = 98,040/x
  3. Step 3: Cross multiply
    47,103x = 98,040 × 98,040
  4. Step 4: Simplify right side
    47,103x = 9,611,841,600
  5. Step 5: Solve for x
    x = 9,611,841,600/47,103
  6. Step 6: Final answer
    x = 204,060.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.