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Finding the Third Proportional to 61,846 and 132,436

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Solution

The third proportional to 61,846 and 132,436 is: 283,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,846 : 132,436 = 132,436 : x
  2. Step 2: Convert to fraction form
    61,846/132,436 = 132,436/x
  3. Step 3: Cross multiply
    61,846x = 132,436 × 132,436
  4. Step 4: Simplify right side
    61,846x = 17,539,294,096
  5. Step 5: Solve for x
    x = 17,539,294,096/61,846
  6. Step 6: Final answer
    x = 283,596.26

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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.