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Finding the Third Proportional to 133,672 and 194,492

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Solution

The third proportional to 133,672 and 194,492 is: 282,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,672 : 194,492 = 194,492 : x
  2. Step 2: Convert to fraction form
    133,672/194,492 = 194,492/x
  3. Step 3: Cross multiply
    133,672x = 194,492 × 194,492
  4. Step 4: Simplify right side
    133,672x = 37,827,138,064
  5. Step 5: Solve for x
    x = 37,827,138,064/133,672
  6. Step 6: Final answer
    x = 282,984.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.