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Finding the Third Proportional to 25,744 and 60,145

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Solution

The third proportional to 25,744 and 60,145 is: 140,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744 : 60,145 = 60,145 : x
  2. Step 2: Convert to fraction form
    25,744/60,145 = 60,145/x
  3. Step 3: Cross multiply
    25,744x = 60,145 × 60,145
  4. Step 4: Simplify right side
    25,744x = 3,617,421,025
  5. Step 5: Solve for x
    x = 3,617,421,025/25,744
  6. Step 6: Final answer
    x = 140,515.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.