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Finding the Third Proportional to 96,269 and 148,166

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Solution

The third proportional to 96,269 and 148,166 is: 228,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,269 : 148,166 = 148,166 : x
  2. Step 2: Convert to fraction form
    96,269/148,166 = 148,166/x
  3. Step 3: Cross multiply
    96,269x = 148,166 × 148,166
  4. Step 4: Simplify right side
    96,269x = 21,953,163,556
  5. Step 5: Solve for x
    x = 21,953,163,556/96,269
  6. Step 6: Final answer
    x = 228,039.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.