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Finding the Third Proportional to 136,000 and 211,104

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Solution

The third proportional to 136,000 and 211,104 is: 327,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,000 : 211,104 = 211,104 : x
  2. Step 2: Convert to fraction form
    136,000/211,104 = 211,104/x
  3. Step 3: Cross multiply
    136,000x = 211,104 × 211,104
  4. Step 4: Simplify right side
    136,000x = 44,564,898,816
  5. Step 5: Solve for x
    x = 44,564,898,816/136,000
  6. Step 6: Final answer
    x = 327,683.08

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