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Finding the Third Proportional to 94,962 and 147,034

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Solution

The third proportional to 94,962 and 147,034 is: 227,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,962 : 147,034 = 147,034 : x
  2. Step 2: Convert to fraction form
    94,962/147,034 = 147,034/x
  3. Step 3: Cross multiply
    94,962x = 147,034 × 147,034
  4. Step 4: Simplify right side
    94,962x = 21,618,997,156
  5. Step 5: Solve for x
    x = 21,618,997,156/94,962
  6. Step 6: Final answer
    x = 227,659.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.