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Finding the Third Proportional to 61,372 and 132,410

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Solution

The third proportional to 61,372 and 132,410 is: 285,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,372 : 132,410 = 132,410 : x
  2. Step 2: Convert to fraction form
    61,372/132,410 = 132,410/x
  3. Step 3: Cross multiply
    61,372x = 132,410 × 132,410
  4. Step 4: Simplify right side
    61,372x = 17,532,408,100
  5. Step 5: Solve for x
    x = 17,532,408,100/61,372
  6. Step 6: Final answer
    x = 285,674.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.