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Finding the Third Proportional to 83,729.64 and 126,350.51

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Solution

The third proportional to 83,729.64 and 126,350.51 is: 190,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,729.64 : 126,350.51 = 126,350.51 : x
  2. Step 2: Convert to fraction form
    83,729.64/126,350.51 = 126,350.51/x
  3. Step 3: Cross multiply
    83,729.64x = 126,350.51 × 126,350.51
  4. Step 4: Simplify right side
    83,729.64x = 15,964,450,824.48
  5. Step 5: Solve for x
    x = 15,964,450,824.48/83,729.64
  6. Step 6: Final answer
    x = 190,666.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.