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Finding the Third Proportional to 72,190 and 173,913

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Solution

The third proportional to 72,190 and 173,913 is: 418,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,190 : 173,913 = 173,913 : x
  2. Step 2: Convert to fraction form
    72,190/173,913 = 173,913/x
  3. Step 3: Cross multiply
    72,190x = 173,913 × 173,913
  4. Step 4: Simplify right side
    72,190x = 30,245,731,569
  5. Step 5: Solve for x
    x = 30,245,731,569/72,190
  6. Step 6: Final answer
    x = 418,973.98

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.