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Finding the Third Proportional to 96,852 and 148,094

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Solution

The third proportional to 96,852 and 148,094 is: 226,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,852 : 148,094 = 148,094 : x
  2. Step 2: Convert to fraction form
    96,852/148,094 = 148,094/x
  3. Step 3: Cross multiply
    96,852x = 148,094 × 148,094
  4. Step 4: Simplify right side
    96,852x = 21,931,832,836
  5. Step 5: Solve for x
    x = 21,931,832,836/96,852
  6. Step 6: Final answer
    x = 226,446.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.