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Finding the Third Proportional to 90,909 and 139,536

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Solution

The third proportional to 90,909 and 139,536 is: 214,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,909 : 139,536 = 139,536 : x
  2. Step 2: Convert to fraction form
    90,909/139,536 = 139,536/x
  3. Step 3: Cross multiply
    90,909x = 139,536 × 139,536
  4. Step 4: Simplify right side
    90,909x = 19,470,295,296
  5. Step 5: Solve for x
    x = 19,470,295,296/90,909
  6. Step 6: Final answer
    x = 214,173.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.