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Finding the Third Proportional to 45,177.75 and 68,946.19

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Solution

The third proportional to 45,177.75 and 68,946.19 is: 105,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,177.75 : 68,946.19 = 68,946.19 : x
  2. Step 2: Convert to fraction form
    45,177.75/68,946.19 = 68,946.19/x
  3. Step 3: Cross multiply
    45,177.75x = 68,946.19 × 68,946.19
  4. Step 4: Simplify right side
    45,177.75x = 4,753,576,770.79
  5. Step 5: Solve for x
    x = 4,753,576,770.79/45,177.75
  6. Step 6: Final answer
    x = 105,219.42

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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.