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Finding the Third Proportional to 91,734.75 and 185,934.25

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Solution

The third proportional to 91,734.75 and 185,934.25 is: 376,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,734.75 : 185,934.25 = 185,934.25 : x
  2. Step 2: Convert to fraction form
    91,734.75/185,934.25 = 185,934.25/x
  3. Step 3: Cross multiply
    91,734.75x = 185,934.25 × 185,934.25
  4. Step 4: Simplify right side
    91,734.75x = 34,571,545,323.06
  5. Step 5: Solve for x
    x = 34,571,545,323.06/91,734.75
  6. Step 6: Final answer
    x = 376,864.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.