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Finding the Third Proportional to 45,786 and 94,503

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Solution

The third proportional to 45,786 and 94,503 is: 195,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,786 : 94,503 = 94,503 : x
  2. Step 2: Convert to fraction form
    45,786/94,503 = 94,503/x
  3. Step 3: Cross multiply
    45,786x = 94,503 × 94,503
  4. Step 4: Simplify right side
    45,786x = 8,930,817,009
  5. Step 5: Solve for x
    x = 8,930,817,009/45,786
  6. Step 6: Final answer
    x = 195,055.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.