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Finding the Third Proportional to 67,254 and 146,948

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Solution

The third proportional to 67,254 and 146,948 is: 321,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,254 : 146,948 = 146,948 : x
  2. Step 2: Convert to fraction form
    67,254/146,948 = 146,948/x
  3. Step 3: Cross multiply
    67,254x = 146,948 × 146,948
  4. Step 4: Simplify right side
    67,254x = 21,593,714,704
  5. Step 5: Solve for x
    x = 21,593,714,704/67,254
  6. Step 6: Final answer
    x = 321,077.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.