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Finding the Third Proportional to 62,384.50 and 110,918

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Solution

The third proportional to 62,384.50 and 110,918 is: 197,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,384.50 : 110,918 = 110,918 : x
  2. Step 2: Convert to fraction form
    62,384.50/110,918 = 110,918/x
  3. Step 3: Cross multiply
    62,384.50x = 110,918 × 110,918
  4. Step 4: Simplify right side
    62,384.50x = 12,302,802,724
  5. Step 5: Solve for x
    x = 12,302,802,724/62,384.50
  6. Step 6: Final answer
    x = 197,209.29

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.