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Finding the Third Proportional to 35,170 and 83,023

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Solution

The third proportional to 35,170 and 83,023 is: 195,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,170 : 83,023 = 83,023 : x
  2. Step 2: Convert to fraction form
    35,170/83,023 = 83,023/x
  3. Step 3: Cross multiply
    35,170x = 83,023 × 83,023
  4. Step 4: Simplify right side
    35,170x = 6,892,818,529
  5. Step 5: Solve for x
    x = 6,892,818,529/35,170
  6. Step 6: Final answer
    x = 195,985.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.