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Finding the Third Proportional to 96,363 and 148,302

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Solution

The third proportional to 96,363 and 148,302 is: 228,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,363 : 148,302 = 148,302 : x
  2. Step 2: Convert to fraction form
    96,363/148,302 = 148,302/x
  3. Step 3: Cross multiply
    96,363x = 148,302 × 148,302
  4. Step 4: Simplify right side
    96,363x = 21,993,483,204
  5. Step 5: Solve for x
    x = 21,993,483,204/96,363
  6. Step 6: Final answer
    x = 228,235.77

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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.