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Finding the Third Proportional to 76,429 and 101,933

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Solution

The third proportional to 76,429 and 101,933 is: 135,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429 : 101,933 = 101,933 : x
  2. Step 2: Convert to fraction form
    76,429/101,933 = 101,933/x
  3. Step 3: Cross multiply
    76,429x = 101,933 × 101,933
  4. Step 4: Simplify right side
    76,429x = 10,390,336,489
  5. Step 5: Solve for x
    x = 10,390,336,489/76,429
  6. Step 6: Final answer
    x = 135,947.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.