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Finding the Third Proportional to 69,094.50 and 103,621.44

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Solution

The third proportional to 69,094.50 and 103,621.44 is: 155,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,094.50 : 103,621.44 = 103,621.44 : x
  2. Step 2: Convert to fraction form
    69,094.50/103,621.44 = 103,621.44/x
  3. Step 3: Cross multiply
    69,094.50x = 103,621.44 × 103,621.44
  4. Step 4: Simplify right side
    69,094.50x = 10,737,402,309.57
  5. Step 5: Solve for x
    x = 10,737,402,309.57/69,094.50
  6. Step 6: Final answer
    x = 155,401.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.