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Finding the Third Proportional to 62,589.38 and 139,172.63

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Solution

The third proportional to 62,589.38 and 139,172.63 is: 309,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,589.38 : 139,172.63 = 139,172.63 : x
  2. Step 2: Convert to fraction form
    62,589.38/139,172.63 = 139,172.63/x
  3. Step 3: Cross multiply
    62,589.38x = 139,172.63 × 139,172.63
  4. Step 4: Simplify right side
    62,589.38x = 19,369,019,549.39
  5. Step 5: Solve for x
    x = 19,369,019,549.39/62,589.38
  6. Step 6: Final answer
    x = 309,461.78

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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.