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Finding the Third Proportional to 45,366.75 and 94,455

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Solution

The third proportional to 45,366.75 and 94,455 is: 196,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,366.75 : 94,455 = 94,455 : x
  2. Step 2: Convert to fraction form
    45,366.75/94,455 = 94,455/x
  3. Step 3: Cross multiply
    45,366.75x = 94,455 × 94,455
  4. Step 4: Simplify right side
    45,366.75x = 8,921,747,025
  5. Step 5: Solve for x
    x = 8,921,747,025/45,366.75
  6. Step 6: Final answer
    x = 196,658.28

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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.