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Finding the Third Proportional to 90,538.50 and 129,282.75

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Solution

The third proportional to 90,538.50 and 129,282.75 is: 184,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,538.50 : 129,282.75 = 129,282.75 : x
  2. Step 2: Convert to fraction form
    90,538.50/129,282.75 = 129,282.75/x
  3. Step 3: Cross multiply
    90,538.50x = 129,282.75 × 129,282.75
  4. Step 4: Simplify right side
    90,538.50x = 16,714,029,447.56
  5. Step 5: Solve for x
    x = 16,714,029,447.56/90,538.50
  6. Step 6: Final answer
    x = 184,606.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.