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Finding the Third Proportional to 128,570.25 and 192,730.50

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Solution

The third proportional to 128,570.25 and 192,730.50 is: 288,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,570.25 : 192,730.50 = 192,730.50 : x
  2. Step 2: Convert to fraction form
    128,570.25/192,730.50 = 192,730.50/x
  3. Step 3: Cross multiply
    128,570.25x = 192,730.50 × 192,730.50
  4. Step 4: Simplify right side
    128,570.25x = 37,145,045,630.25
  5. Step 5: Solve for x
    x = 37,145,045,630.25/128,570.25
  6. Step 6: Final answer
    x = 288,908.56

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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.