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Finding the Third Proportional to 43,602 and 92,910

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Solution

The third proportional to 43,602 and 92,910 is: 197,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,602 : 92,910 = 92,910 : x
  2. Step 2: Convert to fraction form
    43,602/92,910 = 92,910/x
  3. Step 3: Cross multiply
    43,602x = 92,910 × 92,910
  4. Step 4: Simplify right side
    43,602x = 8,632,268,100
  5. Step 5: Solve for x
    x = 8,632,268,100/43,602
  6. Step 6: Final answer
    x = 197,978.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.