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Finding the Third Proportional to 72,797 and 154,342

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Solution

The third proportional to 72,797 and 154,342 is: 327,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,797 : 154,342 = 154,342 : x
  2. Step 2: Convert to fraction form
    72,797/154,342 = 154,342/x
  3. Step 3: Cross multiply
    72,797x = 154,342 × 154,342
  4. Step 4: Simplify right side
    72,797x = 23,821,452,964
  5. Step 5: Solve for x
    x = 23,821,452,964/72,797
  6. Step 6: Final answer
    x = 327,231.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.