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Finding the Third Proportional to 72,578 and 112,103

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Solution

The third proportional to 72,578 and 112,103 is: 173,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578 : 112,103 = 112,103 : x
  2. Step 2: Convert to fraction form
    72,578/112,103 = 112,103/x
  3. Step 3: Cross multiply
    72,578x = 112,103 × 112,103
  4. Step 4: Simplify right side
    72,578x = 12,567,082,609
  5. Step 5: Solve for x
    x = 12,567,082,609/72,578
  6. Step 6: Final answer
    x = 173,152.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.