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Finding the Third Proportional to 70,596 and 155,400

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Solution

The third proportional to 70,596 and 155,400 is: 342,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,596 : 155,400 = 155,400 : x
  2. Step 2: Convert to fraction form
    70,596/155,400 = 155,400/x
  3. Step 3: Cross multiply
    70,596x = 155,400 × 155,400
  4. Step 4: Simplify right side
    70,596x = 24,149,160,000
  5. Step 5: Solve for x
    x = 24,149,160,000/70,596
  6. Step 6: Final answer
    x = 342,075.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.