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Finding the Third Proportional to 47,056.50 and 101,322

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Solution

The third proportional to 47,056.50 and 101,322 is: 218,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,056.50 : 101,322 = 101,322 : x
  2. Step 2: Convert to fraction form
    47,056.50/101,322 = 101,322/x
  3. Step 3: Cross multiply
    47,056.50x = 101,322 × 101,322
  4. Step 4: Simplify right side
    47,056.50x = 10,266,147,684
  5. Step 5: Solve for x
    x = 10,266,147,684/47,056.50
  6. Step 6: Final answer
    x = 218,166.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.