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Finding the Third Proportional to 36,307 and 78,645

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Solution

The third proportional to 36,307 and 78,645 is: 170,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,307 : 78,645 = 78,645 : x
  2. Step 2: Convert to fraction form
    36,307/78,645 = 78,645/x
  3. Step 3: Cross multiply
    36,307x = 78,645 × 78,645
  4. Step 4: Simplify right side
    36,307x = 6,185,036,025
  5. Step 5: Solve for x
    x = 6,185,036,025/36,307
  6. Step 6: Final answer
    x = 170,353.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.