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Finding the Third Proportional to 45,189 and 60,601.50

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Solution

The third proportional to 45,189 and 60,601.50 is: 81,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,189 : 60,601.50 = 60,601.50 : x
  2. Step 2: Convert to fraction form
    45,189/60,601.50 = 60,601.50/x
  3. Step 3: Cross multiply
    45,189x = 60,601.50 × 60,601.50
  4. Step 4: Simplify right side
    45,189x = 3,672,541,802.25
  5. Step 5: Solve for x
    x = 3,672,541,802.25/45,189
  6. Step 6: Final answer
    x = 81,270.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.