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Finding the Third Proportional to 64,946 and 139,756

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Solution

The third proportional to 64,946 and 139,756 is: 300,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,946 : 139,756 = 139,756 : x
  2. Step 2: Convert to fraction form
    64,946/139,756 = 139,756/x
  3. Step 3: Cross multiply
    64,946x = 139,756 × 139,756
  4. Step 4: Simplify right side
    64,946x = 19,531,739,536
  5. Step 5: Solve for x
    x = 19,531,739,536/64,946
  6. Step 6: Final answer
    x = 300,738.14

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Why These Related Problems?

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