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Finding the Third Proportional to 40,932 and 89,160

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Solution

The third proportional to 40,932 and 89,160 is: 194,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,932 : 89,160 = 89,160 : x
  2. Step 2: Convert to fraction form
    40,932/89,160 = 89,160/x
  3. Step 3: Cross multiply
    40,932x = 89,160 × 89,160
  4. Step 4: Simplify right side
    40,932x = 7,949,505,600
  5. Step 5: Solve for x
    x = 7,949,505,600/40,932
  6. Step 6: Final answer
    x = 194,212.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.