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Finding the Third Proportional to 42,716 and 68,240

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Solution

The third proportional to 42,716 and 68,240 is: 109,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,716 : 68,240 = 68,240 : x
  2. Step 2: Convert to fraction form
    42,716/68,240 = 68,240/x
  3. Step 3: Cross multiply
    42,716x = 68,240 × 68,240
  4. Step 4: Simplify right side
    42,716x = 4,656,697,600
  5. Step 5: Solve for x
    x = 4,656,697,600/42,716
  6. Step 6: Final answer
    x = 109,015.30

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.