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Finding the Third Proportional to 52,314 and 107,382

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Solution

The third proportional to 52,314 and 107,382 is: 220,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,314 : 107,382 = 107,382 : x
  2. Step 2: Convert to fraction form
    52,314/107,382 = 107,382/x
  3. Step 3: Cross multiply
    52,314x = 107,382 × 107,382
  4. Step 4: Simplify right side
    52,314x = 11,530,893,924
  5. Step 5: Solve for x
    x = 11,530,893,924/52,314
  6. Step 6: Final answer
    x = 220,416.98

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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.