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Finding the Third Proportional to 94,314 and 202,125

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Solution

The third proportional to 94,314 and 202,125 is: 433,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,314 : 202,125 = 202,125 : x
  2. Step 2: Convert to fraction form
    94,314/202,125 = 202,125/x
  3. Step 3: Cross multiply
    94,314x = 202,125 × 202,125
  4. Step 4: Simplify right side
    94,314x = 40,854,515,625
  5. Step 5: Solve for x
    x = 40,854,515,625/94,314
  6. Step 6: Final answer
    x = 433,175.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.