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Finding the Third Proportional to 92,594 and 192,460

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Solution

The third proportional to 92,594 and 192,460 is: 400,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,594 : 192,460 = 192,460 : x
  2. Step 2: Convert to fraction form
    92,594/192,460 = 192,460/x
  3. Step 3: Cross multiply
    92,594x = 192,460 × 192,460
  4. Step 4: Simplify right side
    92,594x = 37,040,851,600
  5. Step 5: Solve for x
    x = 37,040,851,600/92,594
  6. Step 6: Final answer
    x = 400,035.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.