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Finding the Third Proportional to 55,202 and 118,180

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Solution

The third proportional to 55,202 and 118,180 is: 253,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,202 : 118,180 = 118,180 : x
  2. Step 2: Convert to fraction form
    55,202/118,180 = 118,180/x
  3. Step 3: Cross multiply
    55,202x = 118,180 × 118,180
  4. Step 4: Simplify right side
    55,202x = 13,966,512,400
  5. Step 5: Solve for x
    x = 13,966,512,400/55,202
  6. Step 6: Final answer
    x = 253,007.36

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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.