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Finding the Third Proportional to 74,179 and 160,671

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Solution

The third proportional to 74,179 and 160,671 is: 348,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,179 : 160,671 = 160,671 : x
  2. Step 2: Convert to fraction form
    74,179/160,671 = 160,671/x
  3. Step 3: Cross multiply
    74,179x = 160,671 × 160,671
  4. Step 4: Simplify right side
    74,179x = 25,815,170,241
  5. Step 5: Solve for x
    x = 25,815,170,241/74,179
  6. Step 6: Final answer
    x = 348,011.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.