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Finding the Third Proportional to 83,148 and 182,397

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Solution

The third proportional to 83,148 and 182,397 is: 400,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148 : 182,397 = 182,397 : x
  2. Step 2: Convert to fraction form
    83,148/182,397 = 182,397/x
  3. Step 3: Cross multiply
    83,148x = 182,397 × 182,397
  4. Step 4: Simplify right side
    83,148x = 33,268,665,609
  5. Step 5: Solve for x
    x = 33,268,665,609/83,148
  6. Step 6: Final answer
    x = 400,113.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.