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Finding the Third Proportional to 25,092 and 54,276

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Solution

The third proportional to 25,092 and 54,276 is: 117,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092 : 54,276 = 54,276 : x
  2. Step 2: Convert to fraction form
    25,092/54,276 = 54,276/x
  3. Step 3: Cross multiply
    25,092x = 54,276 × 54,276
  4. Step 4: Simplify right side
    25,092x = 2,945,884,176
  5. Step 5: Solve for x
    x = 2,945,884,176/25,092
  6. Step 6: Final answer
    x = 117,403.32

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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.