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Finding the Third Proportional to 92,962 and 139,655

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Solution

The third proportional to 92,962 and 139,655 is: 209,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,962 : 139,655 = 139,655 : x
  2. Step 2: Convert to fraction form
    92,962/139,655 = 139,655/x
  3. Step 3: Cross multiply
    92,962x = 139,655 × 139,655
  4. Step 4: Simplify right side
    92,962x = 19,503,519,025
  5. Step 5: Solve for x
    x = 19,503,519,025/92,962
  6. Step 6: Final answer
    x = 209,800.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.