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Finding the Third Proportional to 52,529 and 112,438

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Solution

The third proportional to 52,529 and 112,438 is: 240,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,529 : 112,438 = 112,438 : x
  2. Step 2: Convert to fraction form
    52,529/112,438 = 112,438/x
  3. Step 3: Cross multiply
    52,529x = 112,438 × 112,438
  4. Step 4: Simplify right side
    52,529x = 12,642,303,844
  5. Step 5: Solve for x
    x = 12,642,303,844/52,529
  6. Step 6: Final answer
    x = 240,672.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.