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Finding the Third Proportional to 67,752 and 145,980

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Solution

The third proportional to 67,752 and 145,980 is: 314,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,752 : 145,980 = 145,980 : x
  2. Step 2: Convert to fraction form
    67,752/145,980 = 145,980/x
  3. Step 3: Cross multiply
    67,752x = 145,980 × 145,980
  4. Step 4: Simplify right side
    67,752x = 21,310,160,400
  5. Step 5: Solve for x
    x = 21,310,160,400/67,752
  6. Step 6: Final answer
    x = 314,531.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.