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Finding the Third Proportional to 63,212 and 139,152

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Solution

The third proportional to 63,212 and 139,152 is: 306,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,212 : 139,152 = 139,152 : x
  2. Step 2: Convert to fraction form
    63,212/139,152 = 139,152/x
  3. Step 3: Cross multiply
    63,212x = 139,152 × 139,152
  4. Step 4: Simplify right side
    63,212x = 19,363,279,104
  5. Step 5: Solve for x
    x = 19,363,279,104/63,212
  6. Step 6: Final answer
    x = 306,322.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.