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Finding the Third Proportional to 44,998 and 69,856

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Solution

The third proportional to 44,998 and 69,856 is: 108,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,998 : 69,856 = 69,856 : x
  2. Step 2: Convert to fraction form
    44,998/69,856 = 69,856/x
  3. Step 3: Cross multiply
    44,998x = 69,856 × 69,856
  4. Step 4: Simplify right side
    44,998x = 4,879,860,736
  5. Step 5: Solve for x
    x = 4,879,860,736/44,998
  6. Step 6: Final answer
    x = 108,446.17

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Why These Related Problems?

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