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Finding the Third Proportional to 80,414.16 and 118,281.94

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Solution

The third proportional to 80,414.16 and 118,281.94 is: 173,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414.16 : 118,281.94 = 118,281.94 : x
  2. Step 2: Convert to fraction form
    80,414.16/118,281.94 = 118,281.94/x
  3. Step 3: Cross multiply
    80,414.16x = 118,281.94 × 118,281.94
  4. Step 4: Simplify right side
    80,414.16x = 13,990,616,738.75
  5. Step 5: Solve for x
    x = 13,990,616,738.75/80,414.16
  6. Step 6: Final answer
    x = 173,982.01

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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.