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Finding the Third Proportional to 25,069 and 54,967

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Solution

The third proportional to 25,069 and 54,967 is: 120,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,069 : 54,967 = 54,967 : x
  2. Step 2: Convert to fraction form
    25,069/54,967 = 54,967/x
  3. Step 3: Cross multiply
    25,069x = 54,967 × 54,967
  4. Step 4: Simplify right side
    25,069x = 3,021,371,089
  5. Step 5: Solve for x
    x = 3,021,371,089/25,069
  6. Step 6: Final answer
    x = 120,522.20

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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.