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Finding the Third Proportional to 128,424.50 and 170,405.75

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Solution

The third proportional to 128,424.50 and 170,405.75 is: 226,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,424.50 : 170,405.75 = 170,405.75 : x
  2. Step 2: Convert to fraction form
    128,424.50/170,405.75 = 170,405.75/x
  3. Step 3: Cross multiply
    128,424.50x = 170,405.75 × 170,405.75
  4. Step 4: Simplify right side
    128,424.50x = 29,038,119,633.06
  5. Step 5: Solve for x
    x = 29,038,119,633.06/128,424.50
  6. Step 6: Final answer
    x = 226,110.44

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.