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Finding the Third Proportional to 72,675 and 154,158

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Solution

The third proportional to 72,675 and 154,158 is: 326,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,675 : 154,158 = 154,158 : x
  2. Step 2: Convert to fraction form
    72,675/154,158 = 154,158/x
  3. Step 3: Cross multiply
    72,675x = 154,158 × 154,158
  4. Step 4: Simplify right side
    72,675x = 23,764,688,964
  5. Step 5: Solve for x
    x = 23,764,688,964/72,675
  6. Step 6: Final answer
    x = 326,999.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.