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Finding the Third Proportional to 69,795 and 108,220.50

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Solution

The third proportional to 69,795 and 108,220.50 is: 167,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,795 : 108,220.50 = 108,220.50 : x
  2. Step 2: Convert to fraction form
    69,795/108,220.50 = 108,220.50/x
  3. Step 3: Cross multiply
    69,795x = 108,220.50 × 108,220.50
  4. Step 4: Simplify right side
    69,795x = 11,711,676,620.25
  5. Step 5: Solve for x
    x = 11,711,676,620.25/69,795
  6. Step 6: Final answer
    x = 167,801.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.