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Finding the Third Proportional to 74,714 and 164,196

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Solution

The third proportional to 74,714 and 164,196 is: 360,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,714 : 164,196 = 164,196 : x
  2. Step 2: Convert to fraction form
    74,714/164,196 = 164,196/x
  3. Step 3: Cross multiply
    74,714x = 164,196 × 164,196
  4. Step 4: Simplify right side
    74,714x = 26,960,326,416
  5. Step 5: Solve for x
    x = 26,960,326,416/74,714
  6. Step 6: Final answer
    x = 360,847.05

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