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Finding the Third Proportional to 59,271.75 and 142,843.50

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Solution

The third proportional to 59,271.75 and 142,843.50 is: 344,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,271.75 : 142,843.50 = 142,843.50 : x
  2. Step 2: Convert to fraction form
    59,271.75/142,843.50 = 142,843.50/x
  3. Step 3: Cross multiply
    59,271.75x = 142,843.50 × 142,843.50
  4. Step 4: Simplify right side
    59,271.75x = 20,404,265,492.25
  5. Step 5: Solve for x
    x = 20,404,265,492.25/59,271.75
  6. Step 6: Final answer
    x = 344,249.42

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.