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Finding the Third Proportional to 74,116.50 and 162,072.75

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Solution

The third proportional to 74,116.50 and 162,072.75 is: 354,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,116.50 : 162,072.75 = 162,072.75 : x
  2. Step 2: Convert to fraction form
    74,116.50/162,072.75 = 162,072.75/x
  3. Step 3: Cross multiply
    74,116.50x = 162,072.75 × 162,072.75
  4. Step 4: Simplify right side
    74,116.50x = 26,267,576,292.56
  5. Step 5: Solve for x
    x = 26,267,576,292.56/74,116.50
  6. Step 6: Final answer
    x = 354,409.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.