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Finding the Third Proportional to 55,421.88 and 114,785.13

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Solution

The third proportional to 55,421.88 and 114,785.13 is: 237,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,421.88 : 114,785.13 = 114,785.13 : x
  2. Step 2: Convert to fraction form
    55,421.88/114,785.13 = 114,785.13/x
  3. Step 3: Cross multiply
    55,421.88x = 114,785.13 × 114,785.13
  4. Step 4: Simplify right side
    55,421.88x = 13,175,624,921.27
  5. Step 5: Solve for x
    x = 13,175,624,921.27/55,421.88
  6. Step 6: Final answer
    x = 237,733.29

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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.