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Finding the Third Proportional to 72,175 and 103,965

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Solution

The third proportional to 72,175 and 103,965 is: 149,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175 : 103,965 = 103,965 : x
  2. Step 2: Convert to fraction form
    72,175/103,965 = 103,965/x
  3. Step 3: Cross multiply
    72,175x = 103,965 × 103,965
  4. Step 4: Simplify right side
    72,175x = 10,808,721,225
  5. Step 5: Solve for x
    x = 10,808,721,225/72,175
  6. Step 6: Final answer
    x = 149,757.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.