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Finding the Third Proportional to 62,606 and 139,206

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Solution

The third proportional to 62,606 and 139,206 is: 309,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,606 : 139,206 = 139,206 : x
  2. Step 2: Convert to fraction form
    62,606/139,206 = 139,206/x
  3. Step 3: Cross multiply
    62,606x = 139,206 × 139,206
  4. Step 4: Simplify right side
    62,606x = 19,378,310,436
  5. Step 5: Solve for x
    x = 19,378,310,436/62,606
  6. Step 6: Final answer
    x = 309,528.01

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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.