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Finding the Third Proportional to 94,754 and 204,710

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Solution

The third proportional to 94,754 and 204,710 is: 442,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,754 : 204,710 = 204,710 : x
  2. Step 2: Convert to fraction form
    94,754/204,710 = 204,710/x
  3. Step 3: Cross multiply
    94,754x = 204,710 × 204,710
  4. Step 4: Simplify right side
    94,754x = 41,906,184,100
  5. Step 5: Solve for x
    x = 41,906,184,100/94,754
  6. Step 6: Final answer
    x = 442,262.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.