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Finding the Third Proportional to 37,247 and 78,324

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Solution

The third proportional to 37,247 and 78,324 is: 164,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,247 : 78,324 = 78,324 : x
  2. Step 2: Convert to fraction form
    37,247/78,324 = 78,324/x
  3. Step 3: Cross multiply
    37,247x = 78,324 × 78,324
  4. Step 4: Simplify right side
    37,247x = 6,134,648,976
  5. Step 5: Solve for x
    x = 6,134,648,976/37,247
  6. Step 6: Final answer
    x = 164,701.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.