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Finding the Third Proportional to 94,758 and 147,672

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Solution

The third proportional to 94,758 and 147,672 is: 230,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,758 : 147,672 = 147,672 : x
  2. Step 2: Convert to fraction form
    94,758/147,672 = 147,672/x
  3. Step 3: Cross multiply
    94,758x = 147,672 × 147,672
  4. Step 4: Simplify right side
    94,758x = 21,807,019,584
  5. Step 5: Solve for x
    x = 21,807,019,584/94,758
  6. Step 6: Final answer
    x = 230,133.81

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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.