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Finding the Third Proportional to 74,475 and 162,054

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Solution

The third proportional to 74,475 and 162,054 is: 352,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475 : 162,054 = 162,054 : x
  2. Step 2: Convert to fraction form
    74,475/162,054 = 162,054/x
  3. Step 3: Cross multiply
    74,475x = 162,054 × 162,054
  4. Step 4: Simplify right side
    74,475x = 26,261,498,916
  5. Step 5: Solve for x
    x = 26,261,498,916/74,475
  6. Step 6: Final answer
    x = 352,621.67

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Why These Related Problems?

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