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Finding the Third Proportional to 62,596 and 139,186

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Solution

The third proportional to 62,596 and 139,186 is: 309,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,596 : 139,186 = 139,186 : x
  2. Step 2: Convert to fraction form
    62,596/139,186 = 139,186/x
  3. Step 3: Cross multiply
    62,596x = 139,186 × 139,186
  4. Step 4: Simplify right side
    62,596x = 19,372,742,596
  5. Step 5: Solve for x
    x = 19,372,742,596/62,596
  6. Step 6: Final answer
    x = 309,488.51

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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.