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Finding the Third Proportional to 96,239 and 148,116

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Solution

The third proportional to 96,239 and 148,116 is: 227,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,239 : 148,116 = 148,116 : x
  2. Step 2: Convert to fraction form
    96,239/148,116 = 148,116/x
  3. Step 3: Cross multiply
    96,239x = 148,116 × 148,116
  4. Step 4: Simplify right side
    96,239x = 21,938,349,456
  5. Step 5: Solve for x
    x = 21,938,349,456/96,239
  6. Step 6: Final answer
    x = 227,956.96

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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.