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Finding the Third Proportional to 74,416 and 160,064

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Solution

The third proportional to 74,416 and 160,064 is: 344,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416 : 160,064 = 160,064 : x
  2. Step 2: Convert to fraction form
    74,416/160,064 = 160,064/x
  3. Step 3: Cross multiply
    74,416x = 160,064 × 160,064
  4. Step 4: Simplify right side
    74,416x = 25,620,484,096
  5. Step 5: Solve for x
    x = 25,620,484,096/74,416
  6. Step 6: Final answer
    x = 344,287.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.