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Finding the Third Proportional to 45,300 and 94,728

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Solution

The third proportional to 45,300 and 94,728 is: 198,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,300 : 94,728 = 94,728 : x
  2. Step 2: Convert to fraction form
    45,300/94,728 = 94,728/x
  3. Step 3: Cross multiply
    45,300x = 94,728 × 94,728
  4. Step 4: Simplify right side
    45,300x = 8,973,393,984
  5. Step 5: Solve for x
    x = 8,973,393,984/45,300
  6. Step 6: Final answer
    x = 198,088.17

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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.