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Finding the Third Proportional to 25,157 and 55,147

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Solution

The third proportional to 25,157 and 55,147 is: 120,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157 : 55,147 = 55,147 : x
  2. Step 2: Convert to fraction form
    25,157/55,147 = 55,147/x
  3. Step 3: Cross multiply
    25,157x = 55,147 × 55,147
  4. Step 4: Simplify right side
    25,157x = 3,041,191,609
  5. Step 5: Solve for x
    x = 3,041,191,609/25,157
  6. Step 6: Final answer
    x = 120,888.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.