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Finding the Third Proportional to 57,106 and 90,939

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Solution

The third proportional to 57,106 and 90,939 is: 144,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106 : 90,939 = 90,939 : x
  2. Step 2: Convert to fraction form
    57,106/90,939 = 90,939/x
  3. Step 3: Cross multiply
    57,106x = 90,939 × 90,939
  4. Step 4: Simplify right side
    57,106x = 8,269,901,721
  5. Step 5: Solve for x
    x = 8,269,901,721/57,106
  6. Step 6: Final answer
    x = 144,816.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.