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Finding the Third Proportional to 35,101 and 75,026

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Solution

The third proportional to 35,101 and 75,026 is: 160,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,101 : 75,026 = 75,026 : x
  2. Step 2: Convert to fraction form
    35,101/75,026 = 75,026/x
  3. Step 3: Cross multiply
    35,101x = 75,026 × 75,026
  4. Step 4: Simplify right side
    35,101x = 5,628,900,676
  5. Step 5: Solve for x
    x = 5,628,900,676/35,101
  6. Step 6: Final answer
    x = 160,362.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.