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Finding the Third Proportional to 69,200 and 151,604

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Solution

The third proportional to 69,200 and 151,604 is: 332,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,200 : 151,604 = 151,604 : x
  2. Step 2: Convert to fraction form
    69,200/151,604 = 151,604/x
  3. Step 3: Cross multiply
    69,200x = 151,604 × 151,604
  4. Step 4: Simplify right side
    69,200x = 22,983,772,816
  5. Step 5: Solve for x
    x = 22,983,772,816/69,200
  6. Step 6: Final answer
    x = 332,135.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.