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Finding the Third Proportional to 32,936 and 72,118

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Solution

The third proportional to 32,936 and 72,118 is: 157,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,936 : 72,118 = 72,118 : x
  2. Step 2: Convert to fraction form
    32,936/72,118 = 72,118/x
  3. Step 3: Cross multiply
    32,936x = 72,118 × 72,118
  4. Step 4: Simplify right side
    32,936x = 5,201,005,924
  5. Step 5: Solve for x
    x = 5,201,005,924/32,936
  6. Step 6: Final answer
    x = 157,912.49

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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.