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Finding the Third Proportional to 89,740 and 140,784

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Solution

The third proportional to 89,740 and 140,784 is: 220,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,740 : 140,784 = 140,784 : x
  2. Step 2: Convert to fraction form
    89,740/140,784 = 140,784/x
  3. Step 3: Cross multiply
    89,740x = 140,784 × 140,784
  4. Step 4: Simplify right side
    89,740x = 19,820,134,656
  5. Step 5: Solve for x
    x = 19,820,134,656/89,740
  6. Step 6: Final answer
    x = 220,861.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.