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Finding the Third Proportional to 139,248 and 202,916

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Solution

The third proportional to 139,248 and 202,916 is: 295,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,248 : 202,916 = 202,916 : x
  2. Step 2: Convert to fraction form
    139,248/202,916 = 202,916/x
  3. Step 3: Cross multiply
    139,248x = 202,916 × 202,916
  4. Step 4: Simplify right side
    139,248x = 41,174,903,056
  5. Step 5: Solve for x
    x = 41,174,903,056/139,248
  6. Step 6: Final answer
    x = 295,694.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.