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Finding the Third Proportional to 61,806 and 132,361

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Solution

The third proportional to 61,806 and 132,361 is: 283,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,806 : 132,361 = 132,361 : x
  2. Step 2: Convert to fraction form
    61,806/132,361 = 132,361/x
  3. Step 3: Cross multiply
    61,806x = 132,361 × 132,361
  4. Step 4: Simplify right side
    61,806x = 17,519,434,321
  5. Step 5: Solve for x
    x = 17,519,434,321/61,806
  6. Step 6: Final answer
    x = 283,458.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.