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Finding the Third Proportional to 75,442 and 165,944

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Solution

The third proportional to 75,442 and 165,944 is: 365,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,442 : 165,944 = 165,944 : x
  2. Step 2: Convert to fraction form
    75,442/165,944 = 165,944/x
  3. Step 3: Cross multiply
    75,442x = 165,944 × 165,944
  4. Step 4: Simplify right side
    75,442x = 27,537,411,136
  5. Step 5: Solve for x
    x = 27,537,411,136/75,442
  6. Step 6: Final answer
    x = 365,014.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.