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Finding the Third Proportional to 45,000 and 69,858

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Solution

The third proportional to 45,000 and 69,858 is: 108,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,000 : 69,858 = 69,858 : x
  2. Step 2: Convert to fraction form
    45,000/69,858 = 69,858/x
  3. Step 3: Cross multiply
    45,000x = 69,858 × 69,858
  4. Step 4: Simplify right side
    45,000x = 4,880,140,164
  5. Step 5: Solve for x
    x = 4,880,140,164/45,000
  6. Step 6: Final answer
    x = 108,447.56

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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.