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Finding the Third Proportional to 116,706 and 169,956

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Solution

The third proportional to 116,706 and 169,956 is: 247,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,706 : 169,956 = 169,956 : x
  2. Step 2: Convert to fraction form
    116,706/169,956 = 169,956/x
  3. Step 3: Cross multiply
    116,706x = 169,956 × 169,956
  4. Step 4: Simplify right side
    116,706x = 28,885,041,936
  5. Step 5: Solve for x
    x = 28,885,041,936/116,706
  6. Step 6: Final answer
    x = 247,502.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.