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Finding the Third Proportional to 95,235.50 and 142,387

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Solution

The third proportional to 95,235.50 and 142,387 is: 212,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,235.50 : 142,387 = 142,387 : x
  2. Step 2: Convert to fraction form
    95,235.50/142,387 = 142,387/x
  3. Step 3: Cross multiply
    95,235.50x = 142,387 × 142,387
  4. Step 4: Simplify right side
    95,235.50x = 20,274,057,769
  5. Step 5: Solve for x
    x = 20,274,057,769/95,235.50
  6. Step 6: Final answer
    x = 212,883.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.