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Finding the Third Proportional to 136,877 and 183,093

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Solution

The third proportional to 136,877 and 183,093 is: 244,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,877 : 183,093 = 183,093 : x
  2. Step 2: Convert to fraction form
    136,877/183,093 = 183,093/x
  3. Step 3: Cross multiply
    136,877x = 183,093 × 183,093
  4. Step 4: Simplify right side
    136,877x = 33,523,046,649
  5. Step 5: Solve for x
    x = 33,523,046,649/136,877
  6. Step 6: Final answer
    x = 244,913.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.