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Finding the Third Proportional to 36,560 and 78,007

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Solution

The third proportional to 36,560 and 78,007 is: 166,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,560 : 78,007 = 78,007 : x
  2. Step 2: Convert to fraction form
    36,560/78,007 = 78,007/x
  3. Step 3: Cross multiply
    36,560x = 78,007 × 78,007
  4. Step 4: Simplify right side
    36,560x = 6,085,092,049
  5. Step 5: Solve for x
    x = 6,085,092,049/36,560
  6. Step 6: Final answer
    x = 166,441.25

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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.