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Finding the Third Proportional to 52,047 and 113,523

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Solution

The third proportional to 52,047 and 113,523 is: 247,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047 : 113,523 = 113,523 : x
  2. Step 2: Convert to fraction form
    52,047/113,523 = 113,523/x
  3. Step 3: Cross multiply
    52,047x = 113,523 × 113,523
  4. Step 4: Simplify right side
    52,047x = 12,887,471,529
  5. Step 5: Solve for x
    x = 12,887,471,529/52,047
  6. Step 6: Final answer
    x = 247,612.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.