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Finding the Third Proportional to 59,912 and 129,650

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Solution

The third proportional to 59,912 and 129,650 is: 280,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,912 : 129,650 = 129,650 : x
  2. Step 2: Convert to fraction form
    59,912/129,650 = 129,650/x
  3. Step 3: Cross multiply
    59,912x = 129,650 × 129,650
  4. Step 4: Simplify right side
    59,912x = 16,809,122,500
  5. Step 5: Solve for x
    x = 16,809,122,500/59,912
  6. Step 6: Final answer
    x = 280,563.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.