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Finding the Third Proportional to 45,288 and 94,707

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Solution

The third proportional to 45,288 and 94,707 is: 198,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,288 : 94,707 = 94,707 : x
  2. Step 2: Convert to fraction form
    45,288/94,707 = 94,707/x
  3. Step 3: Cross multiply
    45,288x = 94,707 × 94,707
  4. Step 4: Simplify right side
    45,288x = 8,969,415,849
  5. Step 5: Solve for x
    x = 8,969,415,849/45,288
  6. Step 6: Final answer
    x = 198,052.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.