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Finding the Third Proportional to 37,737 and 79,146

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Solution

The third proportional to 37,737 and 79,146 is: 165,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,737 : 79,146 = 79,146 : x
  2. Step 2: Convert to fraction form
    37,737/79,146 = 79,146/x
  3. Step 3: Cross multiply
    37,737x = 79,146 × 79,146
  4. Step 4: Simplify right side
    37,737x = 6,264,089,316
  5. Step 5: Solve for x
    x = 6,264,089,316/37,737
  6. Step 6: Final answer
    x = 165,993.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.