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Finding the Third Proportional to 90,093 and 129,775.50

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Solution

The third proportional to 90,093 and 129,775.50 is: 186,936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,093 : 129,775.50 = 129,775.50 : x
  2. Step 2: Convert to fraction form
    90,093/129,775.50 = 129,775.50/x
  3. Step 3: Cross multiply
    90,093x = 129,775.50 × 129,775.50
  4. Step 4: Simplify right side
    90,093x = 16,841,680,400.25
  5. Step 5: Solve for x
    x = 16,841,680,400.25/90,093
  6. Step 6: Final answer
    x = 186,936.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.