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Finding the Third Proportional to 96,540 and 150,030

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Solution

The third proportional to 96,540 and 150,030 is: 233,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540 : 150,030 = 150,030 : x
  2. Step 2: Convert to fraction form
    96,540/150,030 = 150,030/x
  3. Step 3: Cross multiply
    96,540x = 150,030 × 150,030
  4. Step 4: Simplify right side
    96,540x = 22,509,000,900
  5. Step 5: Solve for x
    x = 22,509,000,900/96,540
  6. Step 6: Final answer
    x = 233,157.25

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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.