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Finding the Third Proportional to 25,514 and 55,127

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Solution

The third proportional to 25,514 and 55,127 is: 119,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514 : 55,127 = 55,127 : x
  2. Step 2: Convert to fraction form
    25,514/55,127 = 55,127/x
  3. Step 3: Cross multiply
    25,514x = 55,127 × 55,127
  4. Step 4: Simplify right side
    25,514x = 3,038,986,129
  5. Step 5: Solve for x
    x = 3,038,986,129/25,514
  6. Step 6: Final answer
    x = 119,110.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.