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Finding the Third Proportional to 134,564 and 182,836

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Solution

The third proportional to 134,564 and 182,836 is: 248,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,564 : 182,836 = 182,836 : x
  2. Step 2: Convert to fraction form
    134,564/182,836 = 182,836/x
  3. Step 3: Cross multiply
    134,564x = 182,836 × 182,836
  4. Step 4: Simplify right side
    134,564x = 33,429,002,896
  5. Step 5: Solve for x
    x = 33,429,002,896/134,564
  6. Step 6: Final answer
    x = 248,424.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.