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Finding the Third Proportional to 146,043 and 195,280.88

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Solution

The third proportional to 146,043 and 195,280.88 is: 261,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,043 : 195,280.88 = 195,280.88 : x
  2. Step 2: Convert to fraction form
    146,043/195,280.88 = 195,280.88/x
  3. Step 3: Cross multiply
    146,043x = 195,280.88 × 195,280.88
  4. Step 4: Simplify right side
    146,043x = 38,134,620,140.77
  5. Step 5: Solve for x
    x = 38,134,620,140.77/146,043
  6. Step 6: Final answer
    x = 261,119.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.