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Finding the Third Proportional to 136,046 and 211,173

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Solution

The third proportional to 136,046 and 211,173 is: 327,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,046 : 211,173 = 211,173 : x
  2. Step 2: Convert to fraction form
    136,046/211,173 = 211,173/x
  3. Step 3: Cross multiply
    136,046x = 211,173 × 211,173
  4. Step 4: Simplify right side
    136,046x = 44,594,035,929
  5. Step 5: Solve for x
    x = 44,594,035,929/136,046
  6. Step 6: Final answer
    x = 327,786.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.