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Finding the Third Proportional to 90,652.50 and 143,991

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Solution

The third proportional to 90,652.50 and 143,991 is: 228,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,652.50 : 143,991 = 143,991 : x
  2. Step 2: Convert to fraction form
    90,652.50/143,991 = 143,991/x
  3. Step 3: Cross multiply
    90,652.50x = 143,991 × 143,991
  4. Step 4: Simplify right side
    90,652.50x = 20,733,408,081
  5. Step 5: Solve for x
    x = 20,733,408,081/90,652.50
  6. Step 6: Final answer
    x = 228,713.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.