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Finding the Third Proportional to 134,996 and 206,583

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Solution

The third proportional to 134,996 and 206,583 is: 316,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,996 : 206,583 = 206,583 : x
  2. Step 2: Convert to fraction form
    134,996/206,583 = 206,583/x
  3. Step 3: Cross multiply
    134,996x = 206,583 × 206,583
  4. Step 4: Simplify right side
    134,996x = 42,676,535,889
  5. Step 5: Solve for x
    x = 42,676,535,889/134,996
  6. Step 6: Final answer
    x = 316,131.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.