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Finding the Third Proportional to 52,272 and 79,944

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Solution

The third proportional to 52,272 and 79,944 is: 122,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,272 : 79,944 = 79,944 : x
  2. Step 2: Convert to fraction form
    52,272/79,944 = 79,944/x
  3. Step 3: Cross multiply
    52,272x = 79,944 × 79,944
  4. Step 4: Simplify right side
    52,272x = 6,391,043,136
  5. Step 5: Solve for x
    x = 6,391,043,136/52,272
  6. Step 6: Final answer
    x = 122,265.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.