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Finding the Third Proportional to 55,114 and 118,004

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Solution

The third proportional to 55,114 and 118,004 is: 252,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,114 : 118,004 = 118,004 : x
  2. Step 2: Convert to fraction form
    55,114/118,004 = 118,004/x
  3. Step 3: Cross multiply
    55,114x = 118,004 × 118,004
  4. Step 4: Simplify right side
    55,114x = 13,924,944,016
  5. Step 5: Solve for x
    x = 13,924,944,016/55,114
  6. Step 6: Final answer
    x = 252,657.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.