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Finding the Third Proportional to 37,056 and 79,872

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Solution

The third proportional to 37,056 and 79,872 is: 172,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056 : 79,872 = 79,872 : x
  2. Step 2: Convert to fraction form
    37,056/79,872 = 79,872/x
  3. Step 3: Cross multiply
    37,056x = 79,872 × 79,872
  4. Step 4: Simplify right side
    37,056x = 6,379,536,384
  5. Step 5: Solve for x
    x = 6,379,536,384/37,056
  6. Step 6: Final answer
    x = 172,159.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.