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Finding the Third Proportional to 76,108 and 118,304

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Solution

The third proportional to 76,108 and 118,304 is: 183,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,108 : 118,304 = 118,304 : x
  2. Step 2: Convert to fraction form
    76,108/118,304 = 118,304/x
  3. Step 3: Cross multiply
    76,108x = 118,304 × 118,304
  4. Step 4: Simplify right side
    76,108x = 13,995,836,416
  5. Step 5: Solve for x
    x = 13,995,836,416/76,108
  6. Step 6: Final answer
    x = 183,894.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.