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Finding the Third Proportional to 68,347.69 and 102,520.69

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Solution

The third proportional to 68,347.69 and 102,520.69 is: 153,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,347.69 : 102,520.69 = 102,520.69 : x
  2. Step 2: Convert to fraction form
    68,347.69/102,520.69 = 102,520.69/x
  3. Step 3: Cross multiply
    68,347.69x = 102,520.69 × 102,520.69
  4. Step 4: Simplify right side
    68,347.69x = 10,510,491,365.47
  5. Step 5: Solve for x
    x = 10,510,491,365.47/68,347.69
  6. Step 6: Final answer
    x = 153,779.77

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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.