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Finding the Third Proportional to 55,230 and 118,200

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Solution

The third proportional to 55,230 and 118,200 is: 252,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,230 : 118,200 = 118,200 : x
  2. Step 2: Convert to fraction form
    55,230/118,200 = 118,200/x
  3. Step 3: Cross multiply
    55,230x = 118,200 × 118,200
  4. Step 4: Simplify right side
    55,230x = 13,971,240,000
  5. Step 5: Solve for x
    x = 13,971,240,000/55,230
  6. Step 6: Final answer
    x = 252,964.69

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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.