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Finding the Third Proportional to 53,144 and 79,592

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Solution

The third proportional to 53,144 and 79,592 is: 119,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,144 : 79,592 = 79,592 : x
  2. Step 2: Convert to fraction form
    53,144/79,592 = 79,592/x
  3. Step 3: Cross multiply
    53,144x = 79,592 × 79,592
  4. Step 4: Simplify right side
    53,144x = 6,334,886,464
  5. Step 5: Solve for x
    x = 6,334,886,464/53,144
  6. Step 6: Final answer
    x = 119,202.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.