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Finding the Third Proportional to 132,273.75 and 202,683.38

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Solution

The third proportional to 132,273.75 and 202,683.38 is: 310,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,273.75 : 202,683.38 = 202,683.38 : x
  2. Step 2: Convert to fraction form
    132,273.75/202,683.38 = 202,683.38/x
  3. Step 3: Cross multiply
    132,273.75x = 202,683.38 × 202,683.38
  4. Step 4: Simplify right side
    132,273.75x = 41,080,550,501.39
  5. Step 5: Solve for x
    x = 41,080,550,501.39/132,273.75
  6. Step 6: Final answer
    x = 310,572.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.