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Finding the Third Proportional to 45,228 and 94,584

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Solution

The third proportional to 45,228 and 94,584 is: 197,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,228 : 94,584 = 94,584 : x
  2. Step 2: Convert to fraction form
    45,228/94,584 = 94,584/x
  3. Step 3: Cross multiply
    45,228x = 94,584 × 94,584
  4. Step 4: Simplify right side
    45,228x = 8,946,133,056
  5. Step 5: Solve for x
    x = 8,946,133,056/45,228
  6. Step 6: Final answer
    x = 197,800.77

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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.