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Finding the Third Proportional to 96,494 and 148,436

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Solution

The third proportional to 96,494 and 148,436 is: 228,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,494 : 148,436 = 148,436 : x
  2. Step 2: Convert to fraction form
    96,494/148,436 = 148,436/x
  3. Step 3: Cross multiply
    96,494x = 148,436 × 148,436
  4. Step 4: Simplify right side
    96,494x = 22,033,246,096
  5. Step 5: Solve for x
    x = 22,033,246,096/96,494
  6. Step 6: Final answer
    x = 228,337.99

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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.