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Finding the Third Proportional to 111,964 and 169,026

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Solution

The third proportional to 111,964 and 169,026 is: 255,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,964 : 169,026 = 169,026 : x
  2. Step 2: Convert to fraction form
    111,964/169,026 = 169,026/x
  3. Step 3: Cross multiply
    111,964x = 169,026 × 169,026
  4. Step 4: Simplify right side
    111,964x = 28,569,788,676
  5. Step 5: Solve for x
    x = 28,569,788,676/111,964
  6. Step 6: Final answer
    x = 255,169.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.