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Finding the Third Proportional to 42,606 and 93,494.25

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Solution

The third proportional to 42,606 and 93,494.25 is: 205,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,606 : 93,494.25 = 93,494.25 : x
  2. Step 2: Convert to fraction form
    42,606/93,494.25 = 93,494.25/x
  3. Step 3: Cross multiply
    42,606x = 93,494.25 × 93,494.25
  4. Step 4: Simplify right side
    42,606x = 8,741,174,783.06
  5. Step 5: Solve for x
    x = 8,741,174,783.06/42,606
  6. Step 6: Final answer
    x = 205,163.00

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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.