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Finding the Third Proportional to 92,594 and 193,252

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Solution

The third proportional to 92,594 and 193,252 is: 403,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,594 : 193,252 = 193,252 : x
  2. Step 2: Convert to fraction form
    92,594/193,252 = 193,252/x
  3. Step 3: Cross multiply
    92,594x = 193,252 × 193,252
  4. Step 4: Simplify right side
    92,594x = 37,346,335,504
  5. Step 5: Solve for x
    x = 37,346,335,504/92,594
  6. Step 6: Final answer
    x = 403,334.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.