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Finding the Third Proportional to 65,740 and 94,000

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Solution

The third proportional to 65,740 and 94,000 is: 134,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,740 : 94,000 = 94,000 : x
  2. Step 2: Convert to fraction form
    65,740/94,000 = 94,000/x
  3. Step 3: Cross multiply
    65,740x = 94,000 × 94,000
  4. Step 4: Simplify right side
    65,740x = 8,836,000,000
  5. Step 5: Solve for x
    x = 8,836,000,000/65,740
  6. Step 6: Final answer
    x = 134,408.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.