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Finding the Third Proportional to 96,246 and 139,995

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Solution

The third proportional to 96,246 and 139,995 is: 203,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,246 : 139,995 = 139,995 : x
  2. Step 2: Convert to fraction form
    96,246/139,995 = 139,995/x
  3. Step 3: Cross multiply
    96,246x = 139,995 × 139,995
  4. Step 4: Simplify right side
    96,246x = 19,598,600,025
  5. Step 5: Solve for x
    x = 19,598,600,025/96,246
  6. Step 6: Final answer
    x = 203,630.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.