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Finding the Third Proportional to 115,975.50 and 179,575

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Solution

The third proportional to 115,975.50 and 179,575 is: 278,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,975.50 : 179,575 = 179,575 : x
  2. Step 2: Convert to fraction form
    115,975.50/179,575 = 179,575/x
  3. Step 3: Cross multiply
    115,975.50x = 179,575 × 179,575
  4. Step 4: Simplify right side
    115,975.50x = 32,247,180,625
  5. Step 5: Solve for x
    x = 32,247,180,625/115,975.50
  6. Step 6: Final answer
    x = 278,051.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.