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Finding the Third Proportional to 74,022 and 162,806.25

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Solution

The third proportional to 74,022 and 162,806.25 is: 358,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,022 : 162,806.25 = 162,806.25 : x
  2. Step 2: Convert to fraction form
    74,022/162,806.25 = 162,806.25/x
  3. Step 3: Cross multiply
    74,022x = 162,806.25 × 162,806.25
  4. Step 4: Simplify right side
    74,022x = 26,505,875,039.06
  5. Step 5: Solve for x
    x = 26,505,875,039.06/74,022
  6. Step 6: Final answer
    x = 358,081.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.