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Finding the Third Proportional to 59,244 and 129,968.50

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Solution

The third proportional to 59,244 and 129,968.50 is: 285,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,244 : 129,968.50 = 129,968.50 : x
  2. Step 2: Convert to fraction form
    59,244/129,968.50 = 129,968.50/x
  3. Step 3: Cross multiply
    59,244x = 129,968.50 × 129,968.50
  4. Step 4: Simplify right side
    59,244x = 16,891,810,992.25
  5. Step 5: Solve for x
    x = 16,891,810,992.25/59,244
  6. Step 6: Final answer
    x = 285,122.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.