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Finding the Third Proportional to 112,986.50 and 154,929

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Solution

The third proportional to 112,986.50 and 154,929 is: 212,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,986.50 : 154,929 = 154,929 : x
  2. Step 2: Convert to fraction form
    112,986.50/154,929 = 154,929/x
  3. Step 3: Cross multiply
    112,986.50x = 154,929 × 154,929
  4. Step 4: Simplify right side
    112,986.50x = 24,002,995,041
  5. Step 5: Solve for x
    x = 24,002,995,041/112,986.50
  6. Step 6: Final answer
    x = 212,441.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.