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Finding the Third Proportional to 65,596 and 154,000

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Solution

The third proportional to 65,596 and 154,000 is: 361,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,596 : 154,000 = 154,000 : x
  2. Step 2: Convert to fraction form
    65,596/154,000 = 154,000/x
  3. Step 3: Cross multiply
    65,596x = 154,000 × 154,000
  4. Step 4: Simplify right side
    65,596x = 23,716,000,000
  5. Step 5: Solve for x
    x = 23,716,000,000/65,596
  6. Step 6: Final answer
    x = 361,546.44

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.