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Finding the Third Proportional to 60,840 and 129,456

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Solution

The third proportional to 60,840 and 129,456 is: 275,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,840 : 129,456 = 129,456 : x
  2. Step 2: Convert to fraction form
    60,840/129,456 = 129,456/x
  3. Step 3: Cross multiply
    60,840x = 129,456 × 129,456
  4. Step 4: Simplify right side
    60,840x = 16,758,855,936
  5. Step 5: Solve for x
    x = 16,758,855,936/60,840
  6. Step 6: Final answer
    x = 275,457.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.