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Finding the Third Proportional to 96,513.75 and 139,233

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Solution

The third proportional to 96,513.75 and 139,233 is: 200,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,513.75 : 139,233 = 139,233 : x
  2. Step 2: Convert to fraction form
    96,513.75/139,233 = 139,233/x
  3. Step 3: Cross multiply
    96,513.75x = 139,233 × 139,233
  4. Step 4: Simplify right side
    96,513.75x = 19,385,828,289
  5. Step 5: Solve for x
    x = 19,385,828,289/96,513.75
  6. Step 6: Final answer
    x = 200,860.79

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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.