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Finding the Third Proportional to 60,501 and 138,867

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Solution

The third proportional to 60,501 and 138,867 is: 318,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,501 : 138,867 = 138,867 : x
  2. Step 2: Convert to fraction form
    60,501/138,867 = 138,867/x
  3. Step 3: Cross multiply
    60,501x = 138,867 × 138,867
  4. Step 4: Simplify right side
    60,501x = 19,284,043,689
  5. Step 5: Solve for x
    x = 19,284,043,689/60,501
  6. Step 6: Final answer
    x = 318,739.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.