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Finding the Third Proportional to 42,796 and 92,360

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Solution

The third proportional to 42,796 and 92,360 is: 199,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,796 : 92,360 = 92,360 : x
  2. Step 2: Convert to fraction form
    42,796/92,360 = 92,360/x
  3. Step 3: Cross multiply
    42,796x = 92,360 × 92,360
  4. Step 4: Simplify right side
    42,796x = 8,530,369,600
  5. Step 5: Solve for x
    x = 8,530,369,600/42,796
  6. Step 6: Final answer
    x = 199,326.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.