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Finding the Third Proportional to 120,360 and 187,116

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Solution

The third proportional to 120,360 and 187,116 is: 290,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,360 : 187,116 = 187,116 : x
  2. Step 2: Convert to fraction form
    120,360/187,116 = 187,116/x
  3. Step 3: Cross multiply
    120,360x = 187,116 × 187,116
  4. Step 4: Simplify right side
    120,360x = 35,012,397,456
  5. Step 5: Solve for x
    x = 35,012,397,456/120,360
  6. Step 6: Final answer
    x = 290,897.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.