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Finding the Third Proportional to 52,732 and 113,254

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Solution

The third proportional to 52,732 and 113,254 is: 243,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,732 : 113,254 = 113,254 : x
  2. Step 2: Convert to fraction form
    52,732/113,254 = 113,254/x
  3. Step 3: Cross multiply
    52,732x = 113,254 × 113,254
  4. Step 4: Simplify right side
    52,732x = 12,826,468,516
  5. Step 5: Solve for x
    x = 12,826,468,516/52,732
  6. Step 6: Final answer
    x = 243,238.80

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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.