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Finding the Third Proportional to 55,411.50 and 114,765

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Solution

The third proportional to 55,411.50 and 114,765 is: 237,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,411.50 : 114,765 = 114,765 : x
  2. Step 2: Convert to fraction form
    55,411.50/114,765 = 114,765/x
  3. Step 3: Cross multiply
    55,411.50x = 114,765 × 114,765
  4. Step 4: Simplify right side
    55,411.50x = 13,171,005,225
  5. Step 5: Solve for x
    x = 13,171,005,225/55,411.50
  6. Step 6: Final answer
    x = 237,694.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.