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Finding the Third Proportional to 51,945.75 and 79,012.13

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Solution

The third proportional to 51,945.75 and 79,012.13 is: 120,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,945.75 : 79,012.13 = 79,012.13 : x
  2. Step 2: Convert to fraction form
    51,945.75/79,012.13 = 79,012.13/x
  3. Step 3: Cross multiply
    51,945.75x = 79,012.13 × 79,012.13
  4. Step 4: Simplify right side
    51,945.75x = 6,242,915,897.02
  5. Step 5: Solve for x
    x = 6,242,915,897.02/51,945.75
  6. Step 6: Final answer
    x = 120,181.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.