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Finding the Third Proportional to 47,278 and 71,899.50

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Solution

The third proportional to 47,278 and 71,899.50 is: 109,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,278 : 71,899.50 = 71,899.50 : x
  2. Step 2: Convert to fraction form
    47,278/71,899.50 = 71,899.50/x
  3. Step 3: Cross multiply
    47,278x = 71,899.50 × 71,899.50
  4. Step 4: Simplify right side
    47,278x = 5,169,538,100.25
  5. Step 5: Solve for x
    x = 5,169,538,100.25/47,278
  6. Step 6: Final answer
    x = 109,343.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.