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Finding the Third Proportional to 60,085 and 139,093

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Solution

The third proportional to 60,085 and 139,093 is: 321,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,085 : 139,093 = 139,093 : x
  2. Step 2: Convert to fraction form
    60,085/139,093 = 139,093/x
  3. Step 3: Cross multiply
    60,085x = 139,093 × 139,093
  4. Step 4: Simplify right side
    60,085x = 19,346,862,649
  5. Step 5: Solve for x
    x = 19,346,862,649/60,085
  6. Step 6: Final answer
    x = 321,991.56

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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.