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Finding the Third Proportional to 50,327 and 108,382

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Solution

The third proportional to 50,327 and 108,382 is: 233,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,327 : 108,382 = 108,382 : x
  2. Step 2: Convert to fraction form
    50,327/108,382 = 108,382/x
  3. Step 3: Cross multiply
    50,327x = 108,382 × 108,382
  4. Step 4: Simplify right side
    50,327x = 11,746,657,924
  5. Step 5: Solve for x
    x = 11,746,657,924/50,327
  6. Step 6: Final answer
    x = 233,406.68

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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.