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Finding the Third Proportional to 67,572 and 144,982

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Solution

The third proportional to 67,572 and 144,982 is: 311,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,572 : 144,982 = 144,982 : x
  2. Step 2: Convert to fraction form
    67,572/144,982 = 144,982/x
  3. Step 3: Cross multiply
    67,572x = 144,982 × 144,982
  4. Step 4: Simplify right side
    67,572x = 21,019,780,324
  5. Step 5: Solve for x
    x = 21,019,780,324/67,572
  6. Step 6: Final answer
    x = 311,072.34

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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.