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Finding the Third Proportional to 36,747 and 78,303

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Solution

The third proportional to 36,747 and 78,303 is: 166,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,747 : 78,303 = 78,303 : x
  2. Step 2: Convert to fraction form
    36,747/78,303 = 78,303/x
  3. Step 3: Cross multiply
    36,747x = 78,303 × 78,303
  4. Step 4: Simplify right side
    36,747x = 6,131,359,809
  5. Step 5: Solve for x
    x = 6,131,359,809/36,747
  6. Step 6: Final answer
    x = 166,853.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.