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Finding the Third Proportional to 44,858 and 69,656

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Solution

The third proportional to 44,858 and 69,656 is: 108,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,858 : 69,656 = 69,656 : x
  2. Step 2: Convert to fraction form
    44,858/69,656 = 69,656/x
  3. Step 3: Cross multiply
    44,858x = 69,656 × 69,656
  4. Step 4: Simplify right side
    44,858x = 4,851,958,336
  5. Step 5: Solve for x
    x = 4,851,958,336/44,858
  6. Step 6: Final answer
    x = 108,162.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.