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Finding the Third Proportional to 83,148 and 182,901

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Solution

The third proportional to 83,148 and 182,901 is: 402,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148 : 182,901 = 182,901 : x
  2. Step 2: Convert to fraction form
    83,148/182,901 = 182,901/x
  3. Step 3: Cross multiply
    83,148x = 182,901 × 182,901
  4. Step 4: Simplify right side
    83,148x = 33,452,775,801
  5. Step 5: Solve for x
    x = 33,452,775,801/83,148
  6. Step 6: Final answer
    x = 402,328.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.