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Finding the Third Proportional to 63,753 and 140,088

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Solution

The third proportional to 63,753 and 140,088 is: 307,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,753 : 140,088 = 140,088 : x
  2. Step 2: Convert to fraction form
    63,753/140,088 = 140,088/x
  3. Step 3: Cross multiply
    63,753x = 140,088 × 140,088
  4. Step 4: Simplify right side
    63,753x = 19,624,647,744
  5. Step 5: Solve for x
    x = 19,624,647,744/63,753
  6. Step 6: Final answer
    x = 307,823.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.