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Finding the Third Proportional to 89,242 and 118,975

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Solution

The third proportional to 89,242 and 118,975 is: 158,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,242 : 118,975 = 118,975 : x
  2. Step 2: Convert to fraction form
    89,242/118,975 = 118,975/x
  3. Step 3: Cross multiply
    89,242x = 118,975 × 118,975
  4. Step 4: Simplify right side
    89,242x = 14,155,050,625
  5. Step 5: Solve for x
    x = 14,155,050,625/89,242
  6. Step 6: Final answer
    x = 158,614.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.