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Finding the Third Proportional to 57,051 and 117,747

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Solution

The third proportional to 57,051 and 117,747 is: 243,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,051 : 117,747 = 117,747 : x
  2. Step 2: Convert to fraction form
    57,051/117,747 = 117,747/x
  3. Step 3: Cross multiply
    57,051x = 117,747 × 117,747
  4. Step 4: Simplify right side
    57,051x = 13,864,356,009
  5. Step 5: Solve for x
    x = 13,864,356,009/57,051
  6. Step 6: Final answer
    x = 243,016.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.