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Finding the Third Proportional to 55,366 and 118,114

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Solution

The third proportional to 55,366 and 118,114 is: 251,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,366 : 118,114 = 118,114 : x
  2. Step 2: Convert to fraction form
    55,366/118,114 = 118,114/x
  3. Step 3: Cross multiply
    55,366x = 118,114 × 118,114
  4. Step 4: Simplify right side
    55,366x = 13,950,916,996
  5. Step 5: Solve for x
    x = 13,950,916,996/55,366
  6. Step 6: Final answer
    x = 251,976.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.