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Finding the Third Proportional to 76,896 and 113,562

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Solution

The third proportional to 76,896 and 113,562 is: 167,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896 : 113,562 = 113,562 : x
  2. Step 2: Convert to fraction form
    76,896/113,562 = 113,562/x
  3. Step 3: Cross multiply
    76,896x = 113,562 × 113,562
  4. Step 4: Simplify right side
    76,896x = 12,896,327,844
  5. Step 5: Solve for x
    x = 12,896,327,844/76,896
  6. Step 6: Final answer
    x = 167,711.30

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.