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Finding the Third Proportional to 43,594 and 92,418

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Solution

The third proportional to 43,594 and 92,418 is: 195,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,594 : 92,418 = 92,418 : x
  2. Step 2: Convert to fraction form
    43,594/92,418 = 92,418/x
  3. Step 3: Cross multiply
    43,594x = 92,418 × 92,418
  4. Step 4: Simplify right side
    43,594x = 8,541,086,724
  5. Step 5: Solve for x
    x = 8,541,086,724/43,594
  6. Step 6: Final answer
    x = 195,923.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.