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Finding the Third Proportional to 50,870 and 107,572

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Solution

The third proportional to 50,870 and 107,572 is: 227,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870 : 107,572 = 107,572 : x
  2. Step 2: Convert to fraction form
    50,870/107,572 = 107,572/x
  3. Step 3: Cross multiply
    50,870x = 107,572 × 107,572
  4. Step 4: Simplify right side
    50,870x = 11,571,735,184
  5. Step 5: Solve for x
    x = 11,571,735,184/50,870
  6. Step 6: Final answer
    x = 227,476.61

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.