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Finding the Third Proportional to 25,196 and 54,927

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Solution

The third proportional to 25,196 and 54,927 is: 119,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196 : 54,927 = 54,927 : x
  2. Step 2: Convert to fraction form
    25,196/54,927 = 54,927/x
  3. Step 3: Cross multiply
    25,196x = 54,927 × 54,927
  4. Step 4: Simplify right side
    25,196x = 3,016,975,329
  5. Step 5: Solve for x
    x = 3,016,975,329/25,196
  6. Step 6: Final answer
    x = 119,740.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.