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Finding the Third Proportional to 44,772 and 94,152

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Solution

The third proportional to 44,772 and 94,152 is: 197,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,772 : 94,152 = 94,152 : x
  2. Step 2: Convert to fraction form
    44,772/94,152 = 94,152/x
  3. Step 3: Cross multiply
    44,772x = 94,152 × 94,152
  4. Step 4: Simplify right side
    44,772x = 8,864,599,104
  5. Step 5: Solve for x
    x = 8,864,599,104/44,772
  6. Step 6: Final answer
    x = 197,994.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.