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Finding the Third Proportional to 74,292 and 162,184

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Solution

The third proportional to 74,292 and 162,184 is: 354,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,292 : 162,184 = 162,184 : x
  2. Step 2: Convert to fraction form
    74,292/162,184 = 162,184/x
  3. Step 3: Cross multiply
    74,292x = 162,184 × 162,184
  4. Step 4: Simplify right side
    74,292x = 26,303,649,856
  5. Step 5: Solve for x
    x = 26,303,649,856/74,292
  6. Step 6: Final answer
    x = 354,057.64

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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.