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Finding the Third Proportional to 88,764 and 194,772

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Solution

The third proportional to 88,764 and 194,772 is: 427,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,764 : 194,772 = 194,772 : x
  2. Step 2: Convert to fraction form
    88,764/194,772 = 194,772/x
  3. Step 3: Cross multiply
    88,764x = 194,772 × 194,772
  4. Step 4: Simplify right side
    88,764x = 37,936,131,984
  5. Step 5: Solve for x
    x = 37,936,131,984/88,764
  6. Step 6: Final answer
    x = 427,381.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.