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Finding the Third Proportional to 120,954.52 and 169,214.06

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Solution

The third proportional to 120,954.52 and 169,214.06 is: 236,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,954.52 : 169,214.06 = 169,214.06 : x
  2. Step 2: Convert to fraction form
    120,954.52/169,214.06 = 169,214.06/x
  3. Step 3: Cross multiply
    120,954.52x = 169,214.06 × 169,214.06
  4. Step 4: Simplify right side
    120,954.52x = 28,633,398,947.75
  5. Step 5: Solve for x
    x = 28,633,398,947.75/120,954.52
  6. Step 6: Final answer
    x = 236,728.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.