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Finding the Third Proportional to 132,144 and 202,617

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Solution

The third proportional to 132,144 and 202,617 is: 310,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,144 : 202,617 = 202,617 : x
  2. Step 2: Convert to fraction form
    132,144/202,617 = 202,617/x
  3. Step 3: Cross multiply
    132,144x = 202,617 × 202,617
  4. Step 4: Simplify right side
    132,144x = 41,053,648,689
  5. Step 5: Solve for x
    x = 41,053,648,689/132,144
  6. Step 6: Final answer
    x = 310,673.57

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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.