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Finding the Third Proportional to 134,550 and 211,086

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Solution

The third proportional to 134,550 and 211,086 is: 331,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,550 : 211,086 = 211,086 : x
  2. Step 2: Convert to fraction form
    134,550/211,086 = 211,086/x
  3. Step 3: Cross multiply
    134,550x = 211,086 × 211,086
  4. Step 4: Simplify right side
    134,550x = 44,557,299,396
  5. Step 5: Solve for x
    x = 44,557,299,396/134,550
  6. Step 6: Final answer
    x = 331,157.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.