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Finding the Third Proportional to 72,846 and 158,510.25

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Solution

The third proportional to 72,846 and 158,510.25 is: 344,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,846 : 158,510.25 = 158,510.25 : x
  2. Step 2: Convert to fraction form
    72,846/158,510.25 = 158,510.25/x
  3. Step 3: Cross multiply
    72,846x = 158,510.25 × 158,510.25
  4. Step 4: Simplify right side
    72,846x = 25,125,499,355.06
  5. Step 5: Solve for x
    x = 25,125,499,355.06/72,846
  6. Step 6: Final answer
    x = 344,912.55

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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.