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Finding the Third Proportional to 62,614 and 139,226

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Solution

The third proportional to 62,614 and 139,226 is: 309,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,614 : 139,226 = 139,226 : x
  2. Step 2: Convert to fraction form
    62,614/139,226 = 139,226/x
  3. Step 3: Cross multiply
    62,614x = 139,226 × 139,226
  4. Step 4: Simplify right side
    62,614x = 19,383,879,076
  5. Step 5: Solve for x
    x = 19,383,879,076/62,614
  6. Step 6: Final answer
    x = 309,577.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.