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Finding the Third Proportional to 134,592 and 182,866

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Solution

The third proportional to 134,592 and 182,866 is: 248,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,592 : 182,866 = 182,866 : x
  2. Step 2: Convert to fraction form
    134,592/182,866 = 182,866/x
  3. Step 3: Cross multiply
    134,592x = 182,866 × 182,866
  4. Step 4: Simplify right side
    134,592x = 33,439,973,956
  5. Step 5: Solve for x
    x = 33,439,973,956/134,592
  6. Step 6: Final answer
    x = 248,454.40

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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.