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Finding the Third Proportional to 103,625 and 185,929

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Solution

The third proportional to 103,625 and 185,929 is: 333,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,625 : 185,929 = 185,929 : x
  2. Step 2: Convert to fraction form
    103,625/185,929 = 185,929/x
  3. Step 3: Cross multiply
    103,625x = 185,929 × 185,929
  4. Step 4: Simplify right side
    103,625x = 34,569,593,041
  5. Step 5: Solve for x
    x = 34,569,593,041/103,625
  6. Step 6: Final answer
    x = 333,602.83

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.