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Finding the Third Proportional to 72,291 and 111,255

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Solution

The third proportional to 72,291 and 111,255 is: 171,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,291 : 111,255 = 111,255 : x
  2. Step 2: Convert to fraction form
    72,291/111,255 = 111,255/x
  3. Step 3: Cross multiply
    72,291x = 111,255 × 111,255
  4. Step 4: Simplify right side
    72,291x = 12,377,675,025
  5. Step 5: Solve for x
    x = 12,377,675,025/72,291
  6. Step 6: Final answer
    x = 171,220.14

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