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Finding the Third Proportional to 65,549 and 154,080

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Solution

The third proportional to 65,549 and 154,080 is: 362,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,549 : 154,080 = 154,080 : x
  2. Step 2: Convert to fraction form
    65,549/154,080 = 154,080/x
  3. Step 3: Cross multiply
    65,549x = 154,080 × 154,080
  4. Step 4: Simplify right side
    65,549x = 23,740,646,400
  5. Step 5: Solve for x
    x = 23,740,646,400/65,549
  6. Step 6: Final answer
    x = 362,181.67

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Why These Related Problems?

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