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Finding the Third Proportional to 96,515 and 139,234.50

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Solution

The third proportional to 96,515 and 139,234.50 is: 200,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,515 : 139,234.50 = 139,234.50 : x
  2. Step 2: Convert to fraction form
    96,515/139,234.50 = 139,234.50/x
  3. Step 3: Cross multiply
    96,515x = 139,234.50 × 139,234.50
  4. Step 4: Simplify right side
    96,515x = 19,386,245,990.25
  5. Step 5: Solve for x
    x = 19,386,245,990.25/96,515
  6. Step 6: Final answer
    x = 200,862.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.