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Finding the Third Proportional to 85,133.39 and 179,089.45

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Solution

The third proportional to 85,133.39 and 179,089.45 is: 376,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,133.39 : 179,089.45 = 179,089.45 : x
  2. Step 2: Convert to fraction form
    85,133.39/179,089.45 = 179,089.45/x
  3. Step 3: Cross multiply
    85,133.39x = 179,089.45 × 179,089.45
  4. Step 4: Simplify right side
    85,133.39x = 32,073,032,220.61
  5. Step 5: Solve for x
    x = 32,073,032,220.61/85,133.39
  6. Step 6: Final answer
    x = 376,738.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.