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Finding the Third Proportional to 55,977.33 and 117,148.78

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Solution

The third proportional to 55,977.33 and 117,148.78 is: 245,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,977.33 : 117,148.78 = 117,148.78 : x
  2. Step 2: Convert to fraction form
    55,977.33/117,148.78 = 117,148.78/x
  3. Step 3: Cross multiply
    55,977.33x = 117,148.78 × 117,148.78
  4. Step 4: Simplify right side
    55,977.33x = 13,723,836,948.36
  5. Step 5: Solve for x
    x = 13,723,836,948.36/55,977.33
  6. Step 6: Final answer
    x = 245,167.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.