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Finding the Third Proportional to 96,155 and 149,273

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Solution

The third proportional to 96,155 and 149,273 is: 231,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,155 : 149,273 = 149,273 : x
  2. Step 2: Convert to fraction form
    96,155/149,273 = 149,273/x
  3. Step 3: Cross multiply
    96,155x = 149,273 × 149,273
  4. Step 4: Simplify right side
    96,155x = 22,282,428,529
  5. Step 5: Solve for x
    x = 22,282,428,529/96,155
  6. Step 6: Final answer
    x = 231,734.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.