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Finding the Third Proportional to 42,026.25 and 91,052.25

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Solution

The third proportional to 42,026.25 and 91,052.25 is: 197,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,026.25 : 91,052.25 = 91,052.25 : x
  2. Step 2: Convert to fraction form
    42,026.25/91,052.25 = 91,052.25/x
  3. Step 3: Cross multiply
    42,026.25x = 91,052.25 × 91,052.25
  4. Step 4: Simplify right side
    42,026.25x = 8,290,512,230.06
  5. Step 5: Solve for x
    x = 8,290,512,230.06/42,026.25
  6. Step 6: Final answer
    x = 197,269.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.