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Finding the Third Proportional to 74,076 and 112,936

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Solution

The third proportional to 74,076 and 112,936 is: 172,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076 : 112,936 = 112,936 : x
  2. Step 2: Convert to fraction form
    74,076/112,936 = 112,936/x
  3. Step 3: Cross multiply
    74,076x = 112,936 × 112,936
  4. Step 4: Simplify right side
    74,076x = 12,754,540,096
  5. Step 5: Solve for x
    x = 12,754,540,096/74,076
  6. Step 6: Final answer
    x = 172,181.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.