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Finding the Third Proportional to 90,688 and 140,896

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Solution

The third proportional to 90,688 and 140,896 is: 218,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,688 : 140,896 = 140,896 : x
  2. Step 2: Convert to fraction form
    90,688/140,896 = 140,896/x
  3. Step 3: Cross multiply
    90,688x = 140,896 × 140,896
  4. Step 4: Simplify right side
    90,688x = 19,851,682,816
  5. Step 5: Solve for x
    x = 19,851,682,816/90,688
  6. Step 6: Final answer
    x = 218,900.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.