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Finding the Third Proportional to 45,565 and 94,126

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Solution

The third proportional to 45,565 and 94,126 is: 194,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,565 : 94,126 = 94,126 : x
  2. Step 2: Convert to fraction form
    45,565/94,126 = 94,126/x
  3. Step 3: Cross multiply
    45,565x = 94,126 × 94,126
  4. Step 4: Simplify right side
    45,565x = 8,859,703,876
  5. Step 5: Solve for x
    x = 8,859,703,876/45,565
  6. Step 6: Final answer
    x = 194,440.99

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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.