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Finding the Third Proportional to 51,022.50 and 108,220.50

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Solution

The third proportional to 51,022.50 and 108,220.50 is: 229,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,022.50 : 108,220.50 = 108,220.50 : x
  2. Step 2: Convert to fraction form
    51,022.50/108,220.50 = 108,220.50/x
  3. Step 3: Cross multiply
    51,022.50x = 108,220.50 × 108,220.50
  4. Step 4: Simplify right side
    51,022.50x = 11,711,676,620.25
  5. Step 5: Solve for x
    x = 11,711,676,620.25/51,022.50
  6. Step 6: Final answer
    x = 229,539.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.