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Finding the Third Proportional to 59,676 and 131,770.50

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Solution

The third proportional to 59,676 and 131,770.50 is: 290,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,676 : 131,770.50 = 131,770.50 : x
  2. Step 2: Convert to fraction form
    59,676/131,770.50 = 131,770.50/x
  3. Step 3: Cross multiply
    59,676x = 131,770.50 × 131,770.50
  4. Step 4: Simplify right side
    59,676x = 17,363,464,670.25
  5. Step 5: Solve for x
    x = 17,363,464,670.25/59,676
  6. Step 6: Final answer
    x = 290,962.27

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.