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Finding the Third Proportional to 91,728.56 and 140,328.56

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Solution

The third proportional to 91,728.56 and 140,328.56 is: 214,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728.56 : 140,328.56 = 140,328.56 : x
  2. Step 2: Convert to fraction form
    91,728.56/140,328.56 = 140,328.56/x
  3. Step 3: Cross multiply
    91,728.56x = 140,328.56 × 140,328.56
  4. Step 4: Simplify right side
    91,728.56x = 19,692,105,453.32
  5. Step 5: Solve for x
    x = 19,692,105,453.32/91,728.56
  6. Step 6: Final answer
    x = 214,678.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.