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Finding the Third Proportional to 91,766.25 and 133,654.75

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Solution

The third proportional to 91,766.25 and 133,654.75 is: 194,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,766.25 : 133,654.75 = 133,654.75 : x
  2. Step 2: Convert to fraction form
    91,766.25/133,654.75 = 133,654.75/x
  3. Step 3: Cross multiply
    91,766.25x = 133,654.75 × 133,654.75
  4. Step 4: Simplify right side
    91,766.25x = 17,863,592,197.56
  5. Step 5: Solve for x
    x = 17,863,592,197.56/91,766.25
  6. Step 6: Final answer
    x = 194,664.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.