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Finding the Third Proportional to 74,022 and 162,804

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Solution

The third proportional to 74,022 and 162,804 is: 358,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,022 : 162,804 = 162,804 : x
  2. Step 2: Convert to fraction form
    74,022/162,804 = 162,804/x
  3. Step 3: Cross multiply
    74,022x = 162,804 × 162,804
  4. Step 4: Simplify right side
    74,022x = 26,505,142,416
  5. Step 5: Solve for x
    x = 26,505,142,416/74,022
  6. Step 6: Final answer
    x = 358,071.15

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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.