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Finding the Third Proportional to 72,683 and 160,910

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Solution

The third proportional to 72,683 and 160,910 is: 356,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,683 : 160,910 = 160,910 : x
  2. Step 2: Convert to fraction form
    72,683/160,910 = 160,910/x
  3. Step 3: Cross multiply
    72,683x = 160,910 × 160,910
  4. Step 4: Simplify right side
    72,683x = 25,892,028,100
  5. Step 5: Solve for x
    x = 25,892,028,100/72,683
  6. Step 6: Final answer
    x = 356,232.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.