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Finding the Third Proportional to 96,590 and 147,755

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Solution

The third proportional to 96,590 and 147,755 is: 226,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,590 : 147,755 = 147,755 : x
  2. Step 2: Convert to fraction form
    96,590/147,755 = 147,755/x
  3. Step 3: Cross multiply
    96,590x = 147,755 × 147,755
  4. Step 4: Simplify right side
    96,590x = 21,831,540,025
  5. Step 5: Solve for x
    x = 21,831,540,025/96,590
  6. Step 6: Final answer
    x = 226,022.78

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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.