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Finding the Third Proportional to 35,120 and 75,858

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Solution

The third proportional to 35,120 and 75,858 is: 163,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,120 : 75,858 = 75,858 : x
  2. Step 2: Convert to fraction form
    35,120/75,858 = 75,858/x
  3. Step 3: Cross multiply
    35,120x = 75,858 × 75,858
  4. Step 4: Simplify right side
    35,120x = 5,754,436,164
  5. Step 5: Solve for x
    x = 5,754,436,164/35,120
  6. Step 6: Final answer
    x = 163,850.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.