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Finding the Third Proportional to 73,626.50 and 160,141

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Solution

The third proportional to 73,626.50 and 160,141 is: 348,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,626.50 : 160,141 = 160,141 : x
  2. Step 2: Convert to fraction form
    73,626.50/160,141 = 160,141/x
  3. Step 3: Cross multiply
    73,626.50x = 160,141 × 160,141
  4. Step 4: Simplify right side
    73,626.50x = 25,645,139,881
  5. Step 5: Solve for x
    x = 25,645,139,881/73,626.50
  6. Step 6: Final answer
    x = 348,313.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.