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Finding the Third Proportional to 47,150 and 73,581

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Solution

The third proportional to 47,150 and 73,581 is: 114,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,150 : 73,581 = 73,581 : x
  2. Step 2: Convert to fraction form
    47,150/73,581 = 73,581/x
  3. Step 3: Cross multiply
    47,150x = 73,581 × 73,581
  4. Step 4: Simplify right side
    47,150x = 5,414,163,561
  5. Step 5: Solve for x
    x = 5,414,163,561/47,150
  6. Step 6: Final answer
    x = 114,828.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.