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Finding the Third Proportional to 72,317 and 111,229

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Solution

The third proportional to 72,317 and 111,229 is: 171,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,317 : 111,229 = 111,229 : x
  2. Step 2: Convert to fraction form
    72,317/111,229 = 111,229/x
  3. Step 3: Cross multiply
    72,317x = 111,229 × 111,229
  4. Step 4: Simplify right side
    72,317x = 12,371,890,441
  5. Step 5: Solve for x
    x = 12,371,890,441/72,317
  6. Step 6: Final answer
    x = 171,078.59

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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.