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Finding the Third Proportional to 87,093 and 130,300.50

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Solution

The third proportional to 87,093 and 130,300.50 is: 194,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,093 : 130,300.50 = 130,300.50 : x
  2. Step 2: Convert to fraction form
    87,093/130,300.50 = 130,300.50/x
  3. Step 3: Cross multiply
    87,093x = 130,300.50 × 130,300.50
  4. Step 4: Simplify right side
    87,093x = 16,978,220,300.25
  5. Step 5: Solve for x
    x = 16,978,220,300.25/87,093
  6. Step 6: Final answer
    x = 194,943.57

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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.