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Finding the Third Proportional to 25,099 and 54,333

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Solution

The third proportional to 25,099 and 54,333 is: 117,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,099 : 54,333 = 54,333 : x
  2. Step 2: Convert to fraction form
    25,099/54,333 = 54,333/x
  3. Step 3: Cross multiply
    25,099x = 54,333 × 54,333
  4. Step 4: Simplify right side
    25,099x = 2,952,074,889
  5. Step 5: Solve for x
    x = 2,952,074,889/25,099
  6. Step 6: Final answer
    x = 117,617.23

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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.