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Finding the Third Proportional to 52,350.75 and 109,127.25

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Solution

The third proportional to 52,350.75 and 109,127.25 is: 227,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,350.75 : 109,127.25 = 109,127.25 : x
  2. Step 2: Convert to fraction form
    52,350.75/109,127.25 = 109,127.25/x
  3. Step 3: Cross multiply
    52,350.75x = 109,127.25 × 109,127.25
  4. Step 4: Simplify right side
    52,350.75x = 11,908,756,692.56
  5. Step 5: Solve for x
    x = 11,908,756,692.56/52,350.75
  6. Step 6: Final answer
    x = 227,480.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.