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Finding the Third Proportional to 60,764 and 90,898

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Solution

The third proportional to 60,764 and 90,898 is: 135,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,764 : 90,898 = 90,898 : x
  2. Step 2: Convert to fraction form
    60,764/90,898 = 90,898/x
  3. Step 3: Cross multiply
    60,764x = 90,898 × 90,898
  4. Step 4: Simplify right side
    60,764x = 8,262,446,404
  5. Step 5: Solve for x
    x = 8,262,446,404/60,764
  6. Step 6: Final answer
    x = 135,976.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.