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Finding the Third Proportional to 87,337.50 and 187,140

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Solution

The third proportional to 87,337.50 and 187,140 is: 400,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,337.50 : 187,140 = 187,140 : x
  2. Step 2: Convert to fraction form
    87,337.50/187,140 = 187,140/x
  3. Step 3: Cross multiply
    87,337.50x = 187,140 × 187,140
  4. Step 4: Simplify right side
    87,337.50x = 35,021,379,600
  5. Step 5: Solve for x
    x = 35,021,379,600/87,337.50
  6. Step 6: Final answer
    x = 400,989.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.