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Finding the Third Proportional to 47,188 and 103,127

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Solution

The third proportional to 47,188 and 103,127 is: 225,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,188 : 103,127 = 103,127 : x
  2. Step 2: Convert to fraction form
    47,188/103,127 = 103,127/x
  3. Step 3: Cross multiply
    47,188x = 103,127 × 103,127
  4. Step 4: Simplify right side
    47,188x = 10,635,178,129
  5. Step 5: Solve for x
    x = 10,635,178,129/47,188
  6. Step 6: Final answer
    x = 225,378.87

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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.