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Finding the Third Proportional to 44,518 and 105,089

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Solution

The third proportional to 44,518 and 105,089 is: 248,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,518 : 105,089 = 105,089 : x
  2. Step 2: Convert to fraction form
    44,518/105,089 = 105,089/x
  3. Step 3: Cross multiply
    44,518x = 105,089 × 105,089
  4. Step 4: Simplify right side
    44,518x = 11,043,697,921
  5. Step 5: Solve for x
    x = 11,043,697,921/44,518
  6. Step 6: Final answer
    x = 248,072.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.