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Finding the Third Proportional to 63,796 and 139,246

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Solution

The third proportional to 63,796 and 139,246 is: 303,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,796 : 139,246 = 139,246 : x
  2. Step 2: Convert to fraction form
    63,796/139,246 = 139,246/x
  3. Step 3: Cross multiply
    63,796x = 139,246 × 139,246
  4. Step 4: Simplify right side
    63,796x = 19,389,448,516
  5. Step 5: Solve for x
    x = 19,389,448,516/63,796
  6. Step 6: Final answer
    x = 303,928.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.