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Finding the Third Proportional to 72,578 and 112,102

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Solution

The third proportional to 72,578 and 112,102 is: 173,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578 : 112,102 = 112,102 : x
  2. Step 2: Convert to fraction form
    72,578/112,102 = 112,102/x
  3. Step 3: Cross multiply
    72,578x = 112,102 × 112,102
  4. Step 4: Simplify right side
    72,578x = 12,566,858,404
  5. Step 5: Solve for x
    x = 12,566,858,404/72,578
  6. Step 6: Final answer
    x = 173,149.69

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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.