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Finding the Third Proportional to 96,986 and 146,343

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Solution

The third proportional to 96,986 and 146,343 is: 220,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,986 : 146,343 = 146,343 : x
  2. Step 2: Convert to fraction form
    96,986/146,343 = 146,343/x
  3. Step 3: Cross multiply
    96,986x = 146,343 × 146,343
  4. Step 4: Simplify right side
    96,986x = 21,416,273,649
  5. Step 5: Solve for x
    x = 21,416,273,649/96,986
  6. Step 6: Final answer
    x = 220,818.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.