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Finding the Third Proportional to 115,723 and 180,351

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Solution

The third proportional to 115,723 and 180,351 is: 281,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,723 : 180,351 = 180,351 : x
  2. Step 2: Convert to fraction form
    115,723/180,351 = 180,351/x
  3. Step 3: Cross multiply
    115,723x = 180,351 × 180,351
  4. Step 4: Simplify right side
    115,723x = 32,526,483,201
  5. Step 5: Solve for x
    x = 32,526,483,201/115,723
  6. Step 6: Final answer
    x = 281,071.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.