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Finding the Third Proportional to 52,121.50 and 113,652.50

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Solution

The third proportional to 52,121.50 and 113,652.50 is: 247,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,121.50 : 113,652.50 = 113,652.50 : x
  2. Step 2: Convert to fraction form
    52,121.50/113,652.50 = 113,652.50/x
  3. Step 3: Cross multiply
    52,121.50x = 113,652.50 × 113,652.50
  4. Step 4: Simplify right side
    52,121.50x = 12,916,890,756.25
  5. Step 5: Solve for x
    x = 12,916,890,756.25/52,121.50
  6. Step 6: Final answer
    x = 247,822.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.