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Finding the Third Proportional to 57,539 and 119,071

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Solution

The third proportional to 57,539 and 119,071 is: 246,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,539 : 119,071 = 119,071 : x
  2. Step 2: Convert to fraction form
    57,539/119,071 = 119,071/x
  3. Step 3: Cross multiply
    57,539x = 119,071 × 119,071
  4. Step 4: Simplify right side
    57,539x = 14,177,903,041
  5. Step 5: Solve for x
    x = 14,177,903,041/57,539
  6. Step 6: Final answer
    x = 246,405.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.