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Finding the Third Proportional to 56,896 and 90,896

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Solution

The third proportional to 56,896 and 90,896 is: 145,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,896 : 90,896 = 90,896 : x
  2. Step 2: Convert to fraction form
    56,896/90,896 = 90,896/x
  3. Step 3: Cross multiply
    56,896x = 90,896 × 90,896
  4. Step 4: Simplify right side
    56,896x = 8,262,082,816
  5. Step 5: Solve for x
    x = 8,262,082,816/56,896
  6. Step 6: Final answer
    x = 145,213.77

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.