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Finding the Third Proportional to 51,602 and 105,392

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Solution

The third proportional to 51,602 and 105,392 is: 215,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602 : 105,392 = 105,392 : x
  2. Step 2: Convert to fraction form
    51,602/105,392 = 105,392/x
  3. Step 3: Cross multiply
    51,602x = 105,392 × 105,392
  4. Step 4: Simplify right side
    51,602x = 11,107,473,664
  5. Step 5: Solve for x
    x = 11,107,473,664/51,602
  6. Step 6: Final answer
    x = 215,252.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.