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Finding the Third Proportional to 98,583 and 139,494

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Solution

The third proportional to 98,583 and 139,494 is: 197,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,583 : 139,494 = 139,494 : x
  2. Step 2: Convert to fraction form
    98,583/139,494 = 139,494/x
  3. Step 3: Cross multiply
    98,583x = 139,494 × 139,494
  4. Step 4: Simplify right side
    98,583x = 19,458,576,036
  5. Step 5: Solve for x
    x = 19,458,576,036/98,583
  6. Step 6: Final answer
    x = 197,382.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.