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Finding the Third Proportional to 44,117 and 66,578

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Solution

The third proportional to 44,117 and 66,578 is: 100,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,117 : 66,578 = 66,578 : x
  2. Step 2: Convert to fraction form
    44,117/66,578 = 66,578/x
  3. Step 3: Cross multiply
    44,117x = 66,578 × 66,578
  4. Step 4: Simplify right side
    44,117x = 4,432,630,084
  5. Step 5: Solve for x
    x = 4,432,630,084/44,117
  6. Step 6: Final answer
    x = 100,474.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.