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Finding the Third Proportional to 97,277 and 150,231

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Solution

The third proportional to 97,277 and 150,231 is: 232,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,277 : 150,231 = 150,231 : x
  2. Step 2: Convert to fraction form
    97,277/150,231 = 150,231/x
  3. Step 3: Cross multiply
    97,277x = 150,231 × 150,231
  4. Step 4: Simplify right side
    97,277x = 22,569,353,361
  5. Step 5: Solve for x
    x = 22,569,353,361/97,277
  6. Step 6: Final answer
    x = 232,011.20

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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.