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Finding the Third Proportional to 55,351.16 and 114,640.63

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Solution

The third proportional to 55,351.16 and 114,640.63 is: 237,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,351.16 : 114,640.63 = 114,640.63 : x
  2. Step 2: Convert to fraction form
    55,351.16/114,640.63 = 114,640.63/x
  3. Step 3: Cross multiply
    55,351.16x = 114,640.63 × 114,640.63
  4. Step 4: Simplify right side
    55,351.16x = 13,142,473,796.02
  5. Step 5: Solve for x
    x = 13,142,473,796.02/55,351.16
  6. Step 6: Final answer
    x = 237,438.09

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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.