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Finding the Third Proportional to 47,138 and 101,657

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Solution

The third proportional to 47,138 and 101,657 is: 219,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138 : 101,657 = 101,657 : x
  2. Step 2: Convert to fraction form
    47,138/101,657 = 101,657/x
  3. Step 3: Cross multiply
    47,138x = 101,657 × 101,657
  4. Step 4: Simplify right side
    47,138x = 10,334,145,649
  5. Step 5: Solve for x
    x = 10,334,145,649/47,138
  6. Step 6: Final answer
    x = 219,231.74

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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.