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Finding the Third Proportional to 134,761.50 and 202,144.50

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Solution

The third proportional to 134,761.50 and 202,144.50 is: 303,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,761.50 : 202,144.50 = 202,144.50 : x
  2. Step 2: Convert to fraction form
    134,761.50/202,144.50 = 202,144.50/x
  3. Step 3: Cross multiply
    134,761.50x = 202,144.50 × 202,144.50
  4. Step 4: Simplify right side
    134,761.50x = 40,862,398,880.25
  5. Step 5: Solve for x
    x = 40,862,398,880.25/134,761.50
  6. Step 6: Final answer
    x = 303,220.13

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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.