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Finding the Third Proportional to 115,072 and 176,632

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Solution

The third proportional to 115,072 and 176,632 is: 271,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,072 : 176,632 = 176,632 : x
  2. Step 2: Convert to fraction form
    115,072/176,632 = 176,632/x
  3. Step 3: Cross multiply
    115,072x = 176,632 × 176,632
  4. Step 4: Simplify right side
    115,072x = 31,198,863,424
  5. Step 5: Solve for x
    x = 31,198,863,424/115,072
  6. Step 6: Final answer
    x = 271,124.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.