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Finding the Third Proportional to 51,122.50 and 104,724

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Solution

The third proportional to 51,122.50 and 104,724 is: 214,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,122.50 : 104,724 = 104,724 : x
  2. Step 2: Convert to fraction form
    51,122.50/104,724 = 104,724/x
  3. Step 3: Cross multiply
    51,122.50x = 104,724 × 104,724
  4. Step 4: Simplify right side
    51,122.50x = 10,967,116,176
  5. Step 5: Solve for x
    x = 10,967,116,176/51,122.50
  6. Step 6: Final answer
    x = 214,526.21

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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.