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Finding the Third Proportional to 34,288 and 75,132

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Solution

The third proportional to 34,288 and 75,132 is: 164,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,288 : 75,132 = 75,132 : x
  2. Step 2: Convert to fraction form
    34,288/75,132 = 75,132/x
  3. Step 3: Cross multiply
    34,288x = 75,132 × 75,132
  4. Step 4: Simplify right side
    34,288x = 5,644,817,424
  5. Step 5: Solve for x
    x = 5,644,817,424/34,288
  6. Step 6: Final answer
    x = 164,629.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.