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Finding the Third Proportional to 80,409 and 118,203

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Solution

The third proportional to 80,409 and 118,203 is: 173,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409 : 118,203 = 118,203 : x
  2. Step 2: Convert to fraction form
    80,409/118,203 = 118,203/x
  3. Step 3: Cross multiply
    80,409x = 118,203 × 118,203
  4. Step 4: Simplify right side
    80,409x = 13,971,949,209
  5. Step 5: Solve for x
    x = 13,971,949,209/80,409
  6. Step 6: Final answer
    x = 173,761.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.