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Finding the Third Proportional to 96,512 and 148,515

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Solution

The third proportional to 96,512 and 148,515 is: 228,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,512 : 148,515 = 148,515 : x
  2. Step 2: Convert to fraction form
    96,512/148,515 = 148,515/x
  3. Step 3: Cross multiply
    96,512x = 148,515 × 148,515
  4. Step 4: Simplify right side
    96,512x = 22,056,705,225
  5. Step 5: Solve for x
    x = 22,056,705,225/96,512
  6. Step 6: Final answer
    x = 228,538.47

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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.