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Finding the Third Proportional to 104,169.38 and 152,551.69

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Solution

The third proportional to 104,169.38 and 152,551.69 is: 223,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,169.38 : 152,551.69 = 152,551.69 : x
  2. Step 2: Convert to fraction form
    104,169.38/152,551.69 = 152,551.69/x
  3. Step 3: Cross multiply
    104,169.38x = 152,551.69 × 152,551.69
  4. Step 4: Simplify right side
    104,169.38x = 23,272,017,359.10
  5. Step 5: Solve for x
    x = 23,272,017,359.10/104,169.38
  6. Step 6: Final answer
    x = 223,405.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.