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Finding the Third Proportional to 80,233 and 127,153

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Solution

The third proportional to 80,233 and 127,153 is: 201,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,233 : 127,153 = 127,153 : x
  2. Step 2: Convert to fraction form
    80,233/127,153 = 127,153/x
  3. Step 3: Cross multiply
    80,233x = 127,153 × 127,153
  4. Step 4: Simplify right side
    80,233x = 16,167,885,409
  5. Step 5: Solve for x
    x = 16,167,885,409/80,233
  6. Step 6: Final answer
    x = 201,511.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.