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Finding the Third Proportional to 61,233 and 141,135

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Solution

The third proportional to 61,233 and 141,135 is: 325,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,233 : 141,135 = 141,135 : x
  2. Step 2: Convert to fraction form
    61,233/141,135 = 141,135/x
  3. Step 3: Cross multiply
    61,233x = 141,135 × 141,135
  4. Step 4: Simplify right side
    61,233x = 19,919,088,225
  5. Step 5: Solve for x
    x = 19,919,088,225/61,233
  6. Step 6: Final answer
    x = 325,299.89

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.