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Finding the Third Proportional to 59,672.25 and 131,764.50

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Solution

The third proportional to 59,672.25 and 131,764.50 is: 290,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,672.25 : 131,764.50 = 131,764.50 : x
  2. Step 2: Convert to fraction form
    59,672.25/131,764.50 = 131,764.50/x
  3. Step 3: Cross multiply
    59,672.25x = 131,764.50 × 131,764.50
  4. Step 4: Simplify right side
    59,672.25x = 17,361,883,460.25
  5. Step 5: Solve for x
    x = 17,361,883,460.25/59,672.25
  6. Step 6: Final answer
    x = 290,954.06

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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.