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Finding the Third Proportional to 45,507 and 94,647

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Solution

The third proportional to 45,507 and 94,647 is: 196,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,507 : 94,647 = 94,647 : x
  2. Step 2: Convert to fraction form
    45,507/94,647 = 94,647/x
  3. Step 3: Cross multiply
    45,507x = 94,647 × 94,647
  4. Step 4: Simplify right side
    45,507x = 8,958,054,609
  5. Step 5: Solve for x
    x = 8,958,054,609/45,507
  6. Step 6: Final answer
    x = 196,850.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.