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Finding the Third Proportional to 67,726 and 146,752

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Solution

The third proportional to 67,726 and 146,752 is: 317,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,726 : 146,752 = 146,752 : x
  2. Step 2: Convert to fraction form
    67,726/146,752 = 146,752/x
  3. Step 3: Cross multiply
    67,726x = 146,752 × 146,752
  4. Step 4: Simplify right side
    67,726x = 21,536,149,504
  5. Step 5: Solve for x
    x = 21,536,149,504/67,726
  6. Step 6: Final answer
    x = 317,989.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.