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Finding the Third Proportional to 68,532.38 and 102,798.38

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Solution

The third proportional to 68,532.38 and 102,798.38 is: 154,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532.38 : 102,798.38 = 102,798.38 : x
  2. Step 2: Convert to fraction form
    68,532.38/102,798.38 = 102,798.38/x
  3. Step 3: Cross multiply
    68,532.38x = 102,798.38 × 102,798.38
  4. Step 4: Simplify right side
    68,532.38x = 10,567,505,902.64
  5. Step 5: Solve for x
    x = 10,567,505,902.64/68,532.38
  6. Step 6: Final answer
    x = 154,197.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.