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Finding the Third Proportional to 42,725.06 and 92,023.56

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Solution

The third proportional to 42,725.06 and 92,023.56 is: 198,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,725.06 : 92,023.56 = 92,023.56 : x
  2. Step 2: Convert to fraction form
    42,725.06/92,023.56 = 92,023.56/x
  3. Step 3: Cross multiply
    42,725.06x = 92,023.56 × 92,023.56
  4. Step 4: Simplify right side
    42,725.06x = 8,468,336,055.19
  5. Step 5: Solve for x
    x = 8,468,336,055.19/42,725.06
  6. Step 6: Final answer
    x = 198,205.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.