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Finding the Third Proportional to 64,934 and 139,732

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Solution

The third proportional to 64,934 and 139,732 is: 300,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934 : 139,732 = 139,732 : x
  2. Step 2: Convert to fraction form
    64,934/139,732 = 139,732/x
  3. Step 3: Cross multiply
    64,934x = 139,732 × 139,732
  4. Step 4: Simplify right side
    64,934x = 19,525,031,824
  5. Step 5: Solve for x
    x = 19,525,031,824/64,934
  6. Step 6: Final answer
    x = 300,690.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.