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Finding the Third Proportional to 52,727 and 113,518

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Solution

The third proportional to 52,727 and 113,518 is: 244,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,727 : 113,518 = 113,518 : x
  2. Step 2: Convert to fraction form
    52,727/113,518 = 113,518/x
  3. Step 3: Cross multiply
    52,727x = 113,518 × 113,518
  4. Step 4: Simplify right side
    52,727x = 12,886,336,324
  5. Step 5: Solve for x
    x = 12,886,336,324/52,727
  6. Step 6: Final answer
    x = 244,397.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.