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Finding the Third Proportional to 92,884 and 139,536

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Solution

The third proportional to 92,884 and 139,536 is: 209,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,884 : 139,536 = 139,536 : x
  2. Step 2: Convert to fraction form
    92,884/139,536 = 139,536/x
  3. Step 3: Cross multiply
    92,884x = 139,536 × 139,536
  4. Step 4: Simplify right side
    92,884x = 19,470,295,296
  5. Step 5: Solve for x
    x = 19,470,295,296/92,884
  6. Step 6: Final answer
    x = 209,619.47

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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.