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Finding the Third Proportional to 62,597 and 139,194

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Solution

The third proportional to 62,597 and 139,194 is: 309,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,597 : 139,194 = 139,194 : x
  2. Step 2: Convert to fraction form
    62,597/139,194 = 139,194/x
  3. Step 3: Cross multiply
    62,597x = 139,194 × 139,194
  4. Step 4: Simplify right side
    62,597x = 19,374,969,636
  5. Step 5: Solve for x
    x = 19,374,969,636/62,597
  6. Step 6: Final answer
    x = 309,519.14

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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.