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Finding the Third Proportional to 34,322 and 75,206

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Solution

The third proportional to 34,322 and 75,206 is: 164,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,322 : 75,206 = 75,206 : x
  2. Step 2: Convert to fraction form
    34,322/75,206 = 75,206/x
  3. Step 3: Cross multiply
    34,322x = 75,206 × 75,206
  4. Step 4: Simplify right side
    34,322x = 5,655,942,436
  5. Step 5: Solve for x
    x = 5,655,942,436/34,322
  6. Step 6: Final answer
    x = 164,790.58

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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.