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Finding the Third Proportional to 72,276 and 111,230

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Solution

The third proportional to 72,276 and 111,230 is: 171,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,276 : 111,230 = 111,230 : x
  2. Step 2: Convert to fraction form
    72,276/111,230 = 111,230/x
  3. Step 3: Cross multiply
    72,276x = 111,230 × 111,230
  4. Step 4: Simplify right side
    72,276x = 12,372,112,900
  5. Step 5: Solve for x
    x = 12,372,112,900/72,276
  6. Step 6: Final answer
    x = 171,178.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.