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Finding the Third Proportional to 62,608 and 139,213

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Solution

The third proportional to 62,608 and 139,213 is: 309,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,608 : 139,213 = 139,213 : x
  2. Step 2: Convert to fraction form
    62,608/139,213 = 139,213/x
  3. Step 3: Cross multiply
    62,608x = 139,213 × 139,213
  4. Step 4: Simplify right side
    62,608x = 19,380,259,369
  5. Step 5: Solve for x
    x = 19,380,259,369/62,608
  6. Step 6: Final answer
    x = 309,549.25

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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.