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Finding the Third Proportional to 67,276 and 91,410

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Solution

The third proportional to 67,276 and 91,410 is: 124,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,276 : 91,410 = 91,410 : x
  2. Step 2: Convert to fraction form
    67,276/91,410 = 91,410/x
  3. Step 3: Cross multiply
    67,276x = 91,410 × 91,410
  4. Step 4: Simplify right side
    67,276x = 8,355,788,100
  5. Step 5: Solve for x
    x = 8,355,788,100/67,276
  6. Step 6: Final answer
    x = 124,201.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.