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Finding the Third Proportional to 60,110 and 139,150

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Solution

The third proportional to 60,110 and 139,150 is: 322,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,110 : 139,150 = 139,150 : x
  2. Step 2: Convert to fraction form
    60,110/139,150 = 139,150/x
  3. Step 3: Cross multiply
    60,110x = 139,150 × 139,150
  4. Step 4: Simplify right side
    60,110x = 19,362,722,500
  5. Step 5: Solve for x
    x = 19,362,722,500/60,110
  6. Step 6: Final answer
    x = 322,121.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.