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Finding the Third Proportional to 47,418 and 71,253

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Solution

The third proportional to 47,418 and 71,253 is: 107,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,418 : 71,253 = 71,253 : x
  2. Step 2: Convert to fraction form
    47,418/71,253 = 71,253/x
  3. Step 3: Cross multiply
    47,418x = 71,253 × 71,253
  4. Step 4: Simplify right side
    47,418x = 5,076,990,009
  5. Step 5: Solve for x
    x = 5,076,990,009/47,418
  6. Step 6: Final answer
    x = 107,068.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.