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Finding the Third Proportional to 72,948 and 114,285

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Solution

The third proportional to 72,948 and 114,285 is: 179,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948 : 114,285 = 114,285 : x
  2. Step 2: Convert to fraction form
    72,948/114,285 = 114,285/x
  3. Step 3: Cross multiply
    72,948x = 114,285 × 114,285
  4. Step 4: Simplify right side
    72,948x = 13,061,061,225
  5. Step 5: Solve for x
    x = 13,061,061,225/72,948
  6. Step 6: Final answer
    x = 179,046.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.