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Finding the Third Proportional to 83,722.50 and 125,771.63

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Solution

The third proportional to 83,722.50 and 125,771.63 is: 188,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.50 : 125,771.63 = 125,771.63 : x
  2. Step 2: Convert to fraction form
    83,722.50/125,771.63 = 125,771.63/x
  3. Step 3: Cross multiply
    83,722.50x = 125,771.63 × 125,771.63
  4. Step 4: Simplify right side
    83,722.50x = 15,818,501,655.14
  5. Step 5: Solve for x
    x = 15,818,501,655.14/83,722.50
  6. Step 6: Final answer
    x = 188,939.67

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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.