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Finding the Third Proportional to 40,716 and 88,392

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Solution

The third proportional to 40,716 and 88,392 is: 191,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,716 : 88,392 = 88,392 : x
  2. Step 2: Convert to fraction form
    40,716/88,392 = 88,392/x
  3. Step 3: Cross multiply
    40,716x = 88,392 × 88,392
  4. Step 4: Simplify right side
    40,716x = 7,813,145,664
  5. Step 5: Solve for x
    x = 7,813,145,664/40,716
  6. Step 6: Final answer
    x = 191,893.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.