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Finding the Third Proportional to 128,969.44 and 172,005.19

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Solution

The third proportional to 128,969.44 and 172,005.19 is: 229,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,969.44 : 172,005.19 = 172,005.19 : x
  2. Step 2: Convert to fraction form
    128,969.44/172,005.19 = 172,005.19/x
  3. Step 3: Cross multiply
    128,969.44x = 172,005.19 × 172,005.19
  4. Step 4: Simplify right side
    128,969.44x = 29,585,784,526.91
  5. Step 5: Solve for x
    x = 29,585,784,526.91/128,969.44
  6. Step 6: Final answer
    x = 229,401.52

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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.