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Finding the Third Proportional to 66,595 and 141,667

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Solution

The third proportional to 66,595 and 141,667 is: 301,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,595 : 141,667 = 141,667 : x
  2. Step 2: Convert to fraction form
    66,595/141,667 = 141,667/x
  3. Step 3: Cross multiply
    66,595x = 141,667 × 141,667
  4. Step 4: Simplify right side
    66,595x = 20,069,538,889
  5. Step 5: Solve for x
    x = 20,069,538,889/66,595
  6. Step 6: Final answer
    x = 301,367.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.