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Finding the Third Proportional to 63,789 and 139,233

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Solution

The third proportional to 63,789 and 139,233 is: 303,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,789 : 139,233 = 139,233 : x
  2. Step 2: Convert to fraction form
    63,789/139,233 = 139,233/x
  3. Step 3: Cross multiply
    63,789x = 139,233 × 139,233
  4. Step 4: Simplify right side
    63,789x = 19,385,828,289
  5. Step 5: Solve for x
    x = 19,385,828,289/63,789
  6. Step 6: Final answer
    x = 303,905.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.