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Finding the Third Proportional to 140,538 and 184,515

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Solution

The third proportional to 140,538 and 184,515 is: 242,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,538 : 184,515 = 184,515 : x
  2. Step 2: Convert to fraction form
    140,538/184,515 = 184,515/x
  3. Step 3: Cross multiply
    140,538x = 184,515 × 184,515
  4. Step 4: Simplify right side
    140,538x = 34,045,785,225
  5. Step 5: Solve for x
    x = 34,045,785,225/140,538
  6. Step 6: Final answer
    x = 242,253.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.