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Finding the Third Proportional to 55,022.50 and 114,350

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Solution

The third proportional to 55,022.50 and 114,350 is: 237,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,022.50 : 114,350 = 114,350 : x
  2. Step 2: Convert to fraction form
    55,022.50/114,350 = 114,350/x
  3. Step 3: Cross multiply
    55,022.50x = 114,350 × 114,350
  4. Step 4: Simplify right side
    55,022.50x = 13,075,922,500
  5. Step 5: Solve for x
    x = 13,075,922,500/55,022.50
  6. Step 6: Final answer
    x = 237,646.83

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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.