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Finding the Third Proportional to 72,018 and 112,175

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Solution

The third proportional to 72,018 and 112,175 is: 174,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,018 : 112,175 = 112,175 : x
  2. Step 2: Convert to fraction form
    72,018/112,175 = 112,175/x
  3. Step 3: Cross multiply
    72,018x = 112,175 × 112,175
  4. Step 4: Simplify right side
    72,018x = 12,583,230,625
  5. Step 5: Solve for x
    x = 12,583,230,625/72,018
  6. Step 6: Final answer
    x = 174,723.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.