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Finding the Third Proportional to 118,108.13 and 182,994.19

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Solution

The third proportional to 118,108.13 and 182,994.19 is: 283,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,108.13 : 182,994.19 = 182,994.19 : x
  2. Step 2: Convert to fraction form
    118,108.13/182,994.19 = 182,994.19/x
  3. Step 3: Cross multiply
    118,108.13x = 182,994.19 × 182,994.19
  4. Step 4: Simplify right side
    118,108.13x = 33,486,872,658.79
  5. Step 5: Solve for x
    x = 33,486,872,658.79/118,108.13
  6. Step 6: Final answer
    x = 283,527.26

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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.