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Finding the Third Proportional to 72,483 and 147,015

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Solution

The third proportional to 72,483 and 147,015 is: 298,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,483 : 147,015 = 147,015 : x
  2. Step 2: Convert to fraction form
    72,483/147,015 = 147,015/x
  3. Step 3: Cross multiply
    72,483x = 147,015 × 147,015
  4. Step 4: Simplify right side
    72,483x = 21,613,410,225
  5. Step 5: Solve for x
    x = 21,613,410,225/72,483
  6. Step 6: Final answer
    x = 298,185.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.