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Finding the Third Proportional to 136,632 and 202,956

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Solution

The third proportional to 136,632 and 202,956 is: 301,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,632 : 202,956 = 202,956 : x
  2. Step 2: Convert to fraction form
    136,632/202,956 = 202,956/x
  3. Step 3: Cross multiply
    136,632x = 202,956 × 202,956
  4. Step 4: Simplify right side
    136,632x = 41,191,137,936
  5. Step 5: Solve for x
    x = 41,191,137,936/136,632
  6. Step 6: Final answer
    x = 301,475.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.