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Finding the Third Proportional to 96,589.50 and 147,753

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Solution

The third proportional to 96,589.50 and 147,753 is: 226,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,589.50 : 147,753 = 147,753 : x
  2. Step 2: Convert to fraction form
    96,589.50/147,753 = 147,753/x
  3. Step 3: Cross multiply
    96,589.50x = 147,753 × 147,753
  4. Step 4: Simplify right side
    96,589.50x = 21,830,949,009
  5. Step 5: Solve for x
    x = 21,830,949,009/96,589.50
  6. Step 6: Final answer
    x = 226,017.83

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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.