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Finding the Third Proportional to 52,153.50 and 112,169.50

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Solution

The third proportional to 52,153.50 and 112,169.50 is: 241,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,153.50 : 112,169.50 = 112,169.50 : x
  2. Step 2: Convert to fraction form
    52,153.50/112,169.50 = 112,169.50/x
  3. Step 3: Cross multiply
    52,153.50x = 112,169.50 × 112,169.50
  4. Step 4: Simplify right side
    52,153.50x = 12,581,996,730.25
  5. Step 5: Solve for x
    x = 12,581,996,730.25/52,153.50
  6. Step 6: Final answer
    x = 241,249.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.