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Finding the Third Proportional to 36,056 and 79,132

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Solution

The third proportional to 36,056 and 79,132 is: 173,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,056 : 79,132 = 79,132 : x
  2. Step 2: Convert to fraction form
    36,056/79,132 = 79,132/x
  3. Step 3: Cross multiply
    36,056x = 79,132 × 79,132
  4. Step 4: Simplify right side
    36,056x = 6,261,873,424
  5. Step 5: Solve for x
    x = 6,261,873,424/36,056
  6. Step 6: Final answer
    x = 173,670.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.