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Finding the Third Proportional to 96,594 and 147,760

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Solution

The third proportional to 96,594 and 147,760 is: 226,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,594 : 147,760 = 147,760 : x
  2. Step 2: Convert to fraction form
    96,594/147,760 = 147,760/x
  3. Step 3: Cross multiply
    96,594x = 147,760 × 147,760
  4. Step 4: Simplify right side
    96,594x = 21,833,017,600
  5. Step 5: Solve for x
    x = 21,833,017,600/96,594
  6. Step 6: Final answer
    x = 226,028.71

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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.