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Finding the Third Proportional to 52,312 and 107,378

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Solution

The third proportional to 52,312 and 107,378 is: 220,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,312 : 107,378 = 107,378 : x
  2. Step 2: Convert to fraction form
    52,312/107,378 = 107,378/x
  3. Step 3: Cross multiply
    52,312x = 107,378 × 107,378
  4. Step 4: Simplify right side
    52,312x = 11,530,034,884
  5. Step 5: Solve for x
    x = 11,530,034,884/52,312
  6. Step 6: Final answer
    x = 220,408.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.