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Finding the Third Proportional to 42,110 and 90,055

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Solution

The third proportional to 42,110 and 90,055 is: 192,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,110 : 90,055 = 90,055 : x
  2. Step 2: Convert to fraction form
    42,110/90,055 = 90,055/x
  3. Step 3: Cross multiply
    42,110x = 90,055 × 90,055
  4. Step 4: Simplify right side
    42,110x = 8,109,903,025
  5. Step 5: Solve for x
    x = 8,109,903,025/42,110
  6. Step 6: Final answer
    x = 192,588.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.