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Finding the Third Proportional to 96,964 and 150,054

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Solution

The third proportional to 96,964 and 150,054 is: 232,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,964 : 150,054 = 150,054 : x
  2. Step 2: Convert to fraction form
    96,964/150,054 = 150,054/x
  3. Step 3: Cross multiply
    96,964x = 150,054 × 150,054
  4. Step 4: Simplify right side
    96,964x = 22,516,202,916
  5. Step 5: Solve for x
    x = 22,516,202,916/96,964
  6. Step 6: Final answer
    x = 232,211.99

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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.