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Finding the Third Proportional to 44,260 and 69,078

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Solution

The third proportional to 44,260 and 69,078 is: 107,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,260 : 69,078 = 69,078 : x
  2. Step 2: Convert to fraction form
    44,260/69,078 = 69,078/x
  3. Step 3: Cross multiply
    44,260x = 69,078 × 69,078
  4. Step 4: Simplify right side
    44,260x = 4,771,770,084
  5. Step 5: Solve for x
    x = 4,771,770,084/44,260
  6. Step 6: Final answer
    x = 107,812.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.