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Finding the Third Proportional to 99,072 and 174,906

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Solution

The third proportional to 99,072 and 174,906 is: 308,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,072 : 174,906 = 174,906 : x
  2. Step 2: Convert to fraction form
    99,072/174,906 = 174,906/x
  3. Step 3: Cross multiply
    99,072x = 174,906 × 174,906
  4. Step 4: Simplify right side
    99,072x = 30,592,108,836
  5. Step 5: Solve for x
    x = 30,592,108,836/99,072
  6. Step 6: Final answer
    x = 308,786.63

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.