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Finding the Third Proportional to 133,096 and 182,364

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Solution

The third proportional to 133,096 and 182,364 is: 249,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 182,364 = 182,364 : x
  2. Step 2: Convert to fraction form
    133,096/182,364 = 182,364/x
  3. Step 3: Cross multiply
    133,096x = 182,364 × 182,364
  4. Step 4: Simplify right side
    133,096x = 33,256,628,496
  5. Step 5: Solve for x
    x = 33,256,628,496/133,096
  6. Step 6: Final answer
    x = 249,869.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.