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Finding the Third Proportional to 50,925 and 108,420

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Solution

The third proportional to 50,925 and 108,420 is: 230,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,925 : 108,420 = 108,420 : x
  2. Step 2: Convert to fraction form
    50,925/108,420 = 108,420/x
  3. Step 3: Cross multiply
    50,925x = 108,420 × 108,420
  4. Step 4: Simplify right side
    50,925x = 11,754,896,400
  5. Step 5: Solve for x
    x = 11,754,896,400/50,925
  6. Step 6: Final answer
    x = 230,827.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.