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Finding the Third Proportional to 94,131 and 206,964

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Solution

The third proportional to 94,131 and 206,964 is: 455,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,131 : 206,964 = 206,964 : x
  2. Step 2: Convert to fraction form
    94,131/206,964 = 206,964/x
  3. Step 3: Cross multiply
    94,131x = 206,964 × 206,964
  4. Step 4: Simplify right side
    94,131x = 42,834,097,296
  5. Step 5: Solve for x
    x = 42,834,097,296/94,131
  6. Step 6: Final answer
    x = 455,047.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.