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Finding the Third Proportional to 134,532 and 211,066

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Solution

The third proportional to 134,532 and 211,066 is: 331,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,532 : 211,066 = 211,066 : x
  2. Step 2: Convert to fraction form
    134,532/211,066 = 211,066/x
  3. Step 3: Cross multiply
    134,532x = 211,066 × 211,066
  4. Step 4: Simplify right side
    134,532x = 44,548,856,356
  5. Step 5: Solve for x
    x = 44,548,856,356/134,532
  6. Step 6: Final answer
    x = 331,139.48

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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.