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Finding the Third Proportional to 75,370 and 115,647

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Solution

The third proportional to 75,370 and 115,647 is: 177,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,370 : 115,647 = 115,647 : x
  2. Step 2: Convert to fraction form
    75,370/115,647 = 115,647/x
  3. Step 3: Cross multiply
    75,370x = 115,647 × 115,647
  4. Step 4: Simplify right side
    75,370x = 13,374,228,609
  5. Step 5: Solve for x
    x = 13,374,228,609/75,370
  6. Step 6: Final answer
    x = 177,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.