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Finding the Third Proportional to 75,258 and 165,996

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Solution

The third proportional to 75,258 and 165,996 is: 366,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258 : 165,996 = 165,996 : x
  2. Step 2: Convert to fraction form
    75,258/165,996 = 165,996/x
  3. Step 3: Cross multiply
    75,258x = 165,996 × 165,996
  4. Step 4: Simplify right side
    75,258x = 27,554,672,016
  5. Step 5: Solve for x
    x = 27,554,672,016/75,258
  6. Step 6: Final answer
    x = 366,136.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.