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Finding the Third Proportional to 68,532.38 and 102,798.19

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Solution

The third proportional to 68,532.38 and 102,798.19 is: 154,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532.38 : 102,798.19 = 102,798.19 : x
  2. Step 2: Convert to fraction form
    68,532.38/102,798.19 = 102,798.19/x
  3. Step 3: Cross multiply
    68,532.38x = 102,798.19 × 102,798.19
  4. Step 4: Simplify right side
    68,532.38x = 10,567,467,353.29
  5. Step 5: Solve for x
    x = 10,567,467,353.29/68,532.38
  6. Step 6: Final answer
    x = 154,196.72

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