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Finding the Third Proportional to 25,543 and 54,157

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Solution

The third proportional to 25,543 and 54,157 is: 114,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543 : 54,157 = 54,157 : x
  2. Step 2: Convert to fraction form
    25,543/54,157 = 54,157/x
  3. Step 3: Cross multiply
    25,543x = 54,157 × 54,157
  4. Step 4: Simplify right side
    25,543x = 2,932,980,649
  5. Step 5: Solve for x
    x = 2,932,980,649/25,543
  6. Step 6: Final answer
    x = 114,825.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.