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Finding the Third Proportional to 42,116.52 and 92,005.24

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Solution

The third proportional to 42,116.52 and 92,005.24 is: 200,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,116.52 : 92,005.24 = 92,005.24 : x
  2. Step 2: Convert to fraction form
    42,116.52/92,005.24 = 92,005.24/x
  3. Step 3: Cross multiply
    42,116.52x = 92,005.24 × 92,005.24
  4. Step 4: Simplify right side
    42,116.52x = 8,464,964,589.98
  5. Step 5: Solve for x
    x = 8,464,964,589.98/42,116.52
  6. Step 6: Final answer
    x = 200,989.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.