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Finding the Third Proportional to 107,745 and 236,064

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Solution

The third proportional to 107,745 and 236,064 is: 517,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,745 : 236,064 = 236,064 : x
  2. Step 2: Convert to fraction form
    107,745/236,064 = 236,064/x
  3. Step 3: Cross multiply
    107,745x = 236,064 × 236,064
  4. Step 4: Simplify right side
    107,745x = 55,726,212,096
  5. Step 5: Solve for x
    x = 55,726,212,096/107,745
  6. Step 6: Final answer
    x = 517,204.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.