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Finding the Third Proportional to 136,672 and 212,112

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Solution

The third proportional to 136,672 and 212,112 is: 329,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,672 : 212,112 = 212,112 : x
  2. Step 2: Convert to fraction form
    136,672/212,112 = 212,112/x
  3. Step 3: Cross multiply
    136,672x = 212,112 × 212,112
  4. Step 4: Simplify right side
    136,672x = 44,991,500,544
  5. Step 5: Solve for x
    x = 44,991,500,544/136,672
  6. Step 6: Final answer
    x = 329,193.25

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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.