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Finding the Third Proportional to 61,602 and 132,406

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Solution

The third proportional to 61,602 and 132,406 is: 284,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,602 : 132,406 = 132,406 : x
  2. Step 2: Convert to fraction form
    61,602/132,406 = 132,406/x
  3. Step 3: Cross multiply
    61,602x = 132,406 × 132,406
  4. Step 4: Simplify right side
    61,602x = 17,531,348,836
  5. Step 5: Solve for x
    x = 17,531,348,836/61,602
  6. Step 6: Final answer
    x = 284,590.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.