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Finding the Third Proportional to 45,597 and 94,188

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Solution

The third proportional to 45,597 and 94,188 is: 194,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,597 : 94,188 = 94,188 : x
  2. Step 2: Convert to fraction form
    45,597/94,188 = 94,188/x
  3. Step 3: Cross multiply
    45,597x = 94,188 × 94,188
  4. Step 4: Simplify right side
    45,597x = 8,871,379,344
  5. Step 5: Solve for x
    x = 8,871,379,344/45,597
  6. Step 6: Final answer
    x = 194,560.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.