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Finding the Third Proportional to 45,606 and 102,925

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Solution

The third proportional to 45,606 and 102,925 is: 232,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,606 : 102,925 = 102,925 : x
  2. Step 2: Convert to fraction form
    45,606/102,925 = 102,925/x
  3. Step 3: Cross multiply
    45,606x = 102,925 × 102,925
  4. Step 4: Simplify right side
    45,606x = 10,593,555,625
  5. Step 5: Solve for x
    x = 10,593,555,625/45,606
  6. Step 6: Final answer
    x = 232,284.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.