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Finding the Third Proportional to 94,675 and 204,113

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Solution

The third proportional to 94,675 and 204,113 is: 440,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,675 : 204,113 = 204,113 : x
  2. Step 2: Convert to fraction form
    94,675/204,113 = 204,113/x
  3. Step 3: Cross multiply
    94,675x = 204,113 × 204,113
  4. Step 4: Simplify right side
    94,675x = 41,662,116,769
  5. Step 5: Solve for x
    x = 41,662,116,769/94,675
  6. Step 6: Final answer
    x = 440,054.05

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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.