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Finding the Third Proportional to 45,306 and 94,743

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Solution

The third proportional to 45,306 and 94,743 is: 198,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,306 : 94,743 = 94,743 : x
  2. Step 2: Convert to fraction form
    45,306/94,743 = 94,743/x
  3. Step 3: Cross multiply
    45,306x = 94,743 × 94,743
  4. Step 4: Simplify right side
    45,306x = 8,976,236,049
  5. Step 5: Solve for x
    x = 8,976,236,049/45,306
  6. Step 6: Final answer
    x = 198,124.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.