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Finding the Third Proportional to 71,800 and 147,188

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Solution

The third proportional to 71,800 and 147,188 is: 301,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,800 : 147,188 = 147,188 : x
  2. Step 2: Convert to fraction form
    71,800/147,188 = 147,188/x
  3. Step 3: Cross multiply
    71,800x = 147,188 × 147,188
  4. Step 4: Simplify right side
    71,800x = 21,664,307,344
  5. Step 5: Solve for x
    x = 21,664,307,344/71,800
  6. Step 6: Final answer
    x = 301,731.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.