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Finding the Third Proportional to 96,241 and 148,119

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Solution

The third proportional to 96,241 and 148,119 is: 227,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,241 : 148,119 = 148,119 : x
  2. Step 2: Convert to fraction form
    96,241/148,119 = 148,119/x
  3. Step 3: Cross multiply
    96,241x = 148,119 × 148,119
  4. Step 4: Simplify right side
    96,241x = 21,939,238,161
  5. Step 5: Solve for x
    x = 21,939,238,161/96,241
  6. Step 6: Final answer
    x = 227,961.45

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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.