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Finding the Third Proportional to 101,443.50 and 146,119.50

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Solution

The third proportional to 101,443.50 and 146,119.50 is: 210,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,443.50 : 146,119.50 = 146,119.50 : x
  2. Step 2: Convert to fraction form
    101,443.50/146,119.50 = 146,119.50/x
  3. Step 3: Cross multiply
    101,443.50x = 146,119.50 × 146,119.50
  4. Step 4: Simplify right side
    101,443.50x = 21,350,908,280.25
  5. Step 5: Solve for x
    x = 21,350,908,280.25/101,443.50
  6. Step 6: Final answer
    x = 210,470.93

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.