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Finding the Third Proportional to 67,896 and 146,248

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Solution

The third proportional to 67,896 and 146,248 is: 315,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,896 : 146,248 = 146,248 : x
  2. Step 2: Convert to fraction form
    67,896/146,248 = 146,248/x
  3. Step 3: Cross multiply
    67,896x = 146,248 × 146,248
  4. Step 4: Simplify right side
    67,896x = 21,388,477,504
  5. Step 5: Solve for x
    x = 21,388,477,504/67,896
  6. Step 6: Final answer
    x = 315,018.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.