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Finding the Third Proportional to 71,920 and 153,064

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Solution

The third proportional to 71,920 and 153,064 is: 325,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,920 : 153,064 = 153,064 : x
  2. Step 2: Convert to fraction form
    71,920/153,064 = 153,064/x
  3. Step 3: Cross multiply
    71,920x = 153,064 × 153,064
  4. Step 4: Simplify right side
    71,920x = 23,428,588,096
  5. Step 5: Solve for x
    x = 23,428,588,096/71,920
  6. Step 6: Final answer
    x = 325,759.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.