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Finding the Third Proportional to 35,254 and 79,385

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Solution

The third proportional to 35,254 and 79,385 is: 178,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,254 : 79,385 = 79,385 : x
  2. Step 2: Convert to fraction form
    35,254/79,385 = 79,385/x
  3. Step 3: Cross multiply
    35,254x = 79,385 × 79,385
  4. Step 4: Simplify right side
    35,254x = 6,301,978,225
  5. Step 5: Solve for x
    x = 6,301,978,225/35,254
  6. Step 6: Final answer
    x = 178,759.24

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.