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Finding the Third Proportional to 25,743 and 60,140

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Solution

The third proportional to 25,743 and 60,140 is: 140,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,743 : 60,140 = 60,140 : x
  2. Step 2: Convert to fraction form
    25,743/60,140 = 60,140/x
  3. Step 3: Cross multiply
    25,743x = 60,140 × 60,140
  4. Step 4: Simplify right side
    25,743x = 3,616,819,600
  5. Step 5: Solve for x
    x = 3,616,819,600/25,743
  6. Step 6: Final answer
    x = 140,497.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.