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Finding the Third Proportional to 94,956 and 147,614

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Solution

The third proportional to 94,956 and 147,614 is: 229,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,956 : 147,614 = 147,614 : x
  2. Step 2: Convert to fraction form
    94,956/147,614 = 147,614/x
  3. Step 3: Cross multiply
    94,956x = 147,614 × 147,614
  4. Step 4: Simplify right side
    94,956x = 21,789,892,996
  5. Step 5: Solve for x
    x = 21,789,892,996/94,956
  6. Step 6: Final answer
    x = 229,473.58

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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.