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Finding the Third Proportional to 97,350 and 150,324

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Solution

The third proportional to 97,350 and 150,324 is: 232,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,350 : 150,324 = 150,324 : x
  2. Step 2: Convert to fraction form
    97,350/150,324 = 150,324/x
  3. Step 3: Cross multiply
    97,350x = 150,324 × 150,324
  4. Step 4: Simplify right side
    97,350x = 22,597,304,976
  5. Step 5: Solve for x
    x = 22,597,304,976/97,350
  6. Step 6: Final answer
    x = 232,124.34

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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.