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Finding the Third Proportional to 45,162 and 72,139.50

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Solution

The third proportional to 45,162 and 72,139.50 is: 115,232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,162 : 72,139.50 = 72,139.50 : x
  2. Step 2: Convert to fraction form
    45,162/72,139.50 = 72,139.50/x
  3. Step 3: Cross multiply
    45,162x = 72,139.50 × 72,139.50
  4. Step 4: Simplify right side
    45,162x = 5,204,107,460.25
  5. Step 5: Solve for x
    x = 5,204,107,460.25/45,162
  6. Step 6: Final answer
    x = 115,232.00

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.