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Finding the Third Proportional to 47,253 and 101,850

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Solution

The third proportional to 47,253 and 101,850 is: 219,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,253 : 101,850 = 101,850 : x
  2. Step 2: Convert to fraction form
    47,253/101,850 = 101,850/x
  3. Step 3: Cross multiply
    47,253x = 101,850 × 101,850
  4. Step 4: Simplify right side
    47,253x = 10,373,422,500
  5. Step 5: Solve for x
    x = 10,373,422,500/47,253
  6. Step 6: Final answer
    x = 219,529.39

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