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Finding the Third Proportional to 136,005 and 211,111.50

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Solution

The third proportional to 136,005 and 211,111.50 is: 327,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,005 : 211,111.50 = 211,111.50 : x
  2. Step 2: Convert to fraction form
    136,005/211,111.50 = 211,111.50/x
  3. Step 3: Cross multiply
    136,005x = 211,111.50 × 211,111.50
  4. Step 4: Simplify right side
    136,005x = 44,568,065,432.25
  5. Step 5: Solve for x
    x = 44,568,065,432.25/136,005
  6. Step 6: Final answer
    x = 327,694.32

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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.