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Finding the Third Proportional to 42,069.94 and 92,059.31

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Solution

The third proportional to 42,069.94 and 92,059.31 is: 201,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,069.94 : 92,059.31 = 92,059.31 : x
  2. Step 2: Convert to fraction form
    42,069.94/92,059.31 = 92,059.31/x
  3. Step 3: Cross multiply
    42,069.94x = 92,059.31 × 92,059.31
  4. Step 4: Simplify right side
    42,069.94x = 8,474,917,017.97
  5. Step 5: Solve for x
    x = 8,474,917,017.97/42,069.94
  6. Step 6: Final answer
    x = 201,448.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.