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Finding the Third Proportional to 51,983 and 112,707

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Solution

The third proportional to 51,983 and 112,707 is: 244,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,983 : 112,707 = 112,707 : x
  2. Step 2: Convert to fraction form
    51,983/112,707 = 112,707/x
  3. Step 3: Cross multiply
    51,983x = 112,707 × 112,707
  4. Step 4: Simplify right side
    51,983x = 12,702,867,849
  5. Step 5: Solve for x
    x = 12,702,867,849/51,983
  6. Step 6: Final answer
    x = 244,365.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.