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Finding the Third Proportional to 52,236 and 112,329

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Solution

The third proportional to 52,236 and 112,329 is: 241,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,236 : 112,329 = 112,329 : x
  2. Step 2: Convert to fraction form
    52,236/112,329 = 112,329/x
  3. Step 3: Cross multiply
    52,236x = 112,329 × 112,329
  4. Step 4: Simplify right side
    52,236x = 12,617,804,241
  5. Step 5: Solve for x
    x = 12,617,804,241/52,236
  6. Step 6: Final answer
    x = 241,553.80

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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.