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Finding the Third Proportional to 95,046 and 147,825

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Solution

The third proportional to 95,046 and 147,825 is: 229,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,046 : 147,825 = 147,825 : x
  2. Step 2: Convert to fraction form
    95,046/147,825 = 147,825/x
  3. Step 3: Cross multiply
    95,046x = 147,825 × 147,825
  4. Step 4: Simplify right side
    95,046x = 21,852,230,625
  5. Step 5: Solve for x
    x = 21,852,230,625/95,046
  6. Step 6: Final answer
    x = 229,912.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.