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Finding the Third Proportional to 96,409 and 148,279

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Solution

The third proportional to 96,409 and 148,279 is: 228,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,409 : 148,279 = 148,279 : x
  2. Step 2: Convert to fraction form
    96,409/148,279 = 148,279/x
  3. Step 3: Cross multiply
    96,409x = 148,279 × 148,279
  4. Step 4: Simplify right side
    96,409x = 21,986,661,841
  5. Step 5: Solve for x
    x = 21,986,661,841/96,409
  6. Step 6: Final answer
    x = 228,056.11

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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.