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Finding the Third Proportional to 102,032 and 149,936

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Solution

The third proportional to 102,032 and 149,936 is: 220,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,032 : 149,936 = 149,936 : x
  2. Step 2: Convert to fraction form
    102,032/149,936 = 149,936/x
  3. Step 3: Cross multiply
    102,032x = 149,936 × 149,936
  4. Step 4: Simplify right side
    102,032x = 22,480,804,096
  5. Step 5: Solve for x
    x = 22,480,804,096/102,032
  6. Step 6: Final answer
    x = 220,330.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.