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Finding the Third Proportional to 73,118.50 and 159,458

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Solution

The third proportional to 73,118.50 and 159,458 is: 347,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,118.50 : 159,458 = 159,458 : x
  2. Step 2: Convert to fraction form
    73,118.50/159,458 = 159,458/x
  3. Step 3: Cross multiply
    73,118.50x = 159,458 × 159,458
  4. Step 4: Simplify right side
    73,118.50x = 25,426,853,764
  5. Step 5: Solve for x
    x = 25,426,853,764/73,118.50
  6. Step 6: Final answer
    x = 347,748.57

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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.