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Finding the Third Proportional to 133,074 and 182,331

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Solution

The third proportional to 133,074 and 182,331 is: 249,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074 : 182,331 = 182,331 : x
  2. Step 2: Convert to fraction form
    133,074/182,331 = 182,331/x
  3. Step 3: Cross multiply
    133,074x = 182,331 × 182,331
  4. Step 4: Simplify right side
    133,074x = 33,244,593,561
  5. Step 5: Solve for x
    x = 33,244,593,561/133,074
  6. Step 6: Final answer
    x = 249,820.35

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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.