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Finding the Third Proportional to 45,281 and 94,693

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Solution

The third proportional to 45,281 and 94,693 is: 198,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,281 : 94,693 = 94,693 : x
  2. Step 2: Convert to fraction form
    45,281/94,693 = 94,693/x
  3. Step 3: Cross multiply
    45,281x = 94,693 × 94,693
  4. Step 4: Simplify right side
    45,281x = 8,966,764,249
  5. Step 5: Solve for x
    x = 8,966,764,249/45,281
  6. Step 6: Final answer
    x = 198,024.87

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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.