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Finding the Third Proportional to 42,770.25 and 67,091.63

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Solution

The third proportional to 42,770.25 and 67,091.63 is: 105,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770.25 : 67,091.63 = 67,091.63 : x
  2. Step 2: Convert to fraction form
    42,770.25/67,091.63 = 67,091.63/x
  3. Step 3: Cross multiply
    42,770.25x = 67,091.63 × 67,091.63
  4. Step 4: Simplify right side
    42,770.25x = 4,501,286,145.14
  5. Step 5: Solve for x
    x = 4,501,286,145.14/42,770.25
  6. Step 6: Final answer
    x = 105,243.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.