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Finding the Third Proportional to 134,769 and 202,157

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Solution

The third proportional to 134,769 and 202,157 is: 303,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,769 : 202,157 = 202,157 : x
  2. Step 2: Convert to fraction form
    134,769/202,157 = 202,157/x
  3. Step 3: Cross multiply
    134,769x = 202,157 × 202,157
  4. Step 4: Simplify right side
    134,769x = 40,867,452,649
  5. Step 5: Solve for x
    x = 40,867,452,649/134,769
  6. Step 6: Final answer
    x = 303,240.75

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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.