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Finding the Third Proportional to 73,651.13 and 112,620.38

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Solution

The third proportional to 73,651.13 and 112,620.38 is: 172,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,651.13 : 112,620.38 = 112,620.38 : x
  2. Step 2: Convert to fraction form
    73,651.13/112,620.38 = 112,620.38/x
  3. Step 3: Cross multiply
    73,651.13x = 112,620.38 × 112,620.38
  4. Step 4: Simplify right side
    73,651.13x = 12,683,348,865.14
  5. Step 5: Solve for x
    x = 12,683,348,865.14/73,651.13
  6. Step 6: Final answer
    x = 172,208.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.