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Finding the Third Proportional to 64,942 and 140,000

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Solution

The third proportional to 64,942 and 140,000 is: 301,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,942 : 140,000 = 140,000 : x
  2. Step 2: Convert to fraction form
    64,942/140,000 = 140,000/x
  3. Step 3: Cross multiply
    64,942x = 140,000 × 140,000
  4. Step 4: Simplify right side
    64,942x = 19,600,000,000
  5. Step 5: Solve for x
    x = 19,600,000,000/64,942
  6. Step 6: Final answer
    x = 301,807.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.