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Finding the Third Proportional to 45,544 and 93,356

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Solution

The third proportional to 45,544 and 93,356 is: 191,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,544 : 93,356 = 93,356 : x
  2. Step 2: Convert to fraction form
    45,544/93,356 = 93,356/x
  3. Step 3: Cross multiply
    45,544x = 93,356 × 93,356
  4. Step 4: Simplify right side
    45,544x = 8,715,342,736
  5. Step 5: Solve for x
    x = 8,715,342,736/45,544
  6. Step 6: Final answer
    x = 191,360.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.