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Finding the Third Proportional to 34,796 and 75,133

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Solution

The third proportional to 34,796 and 75,133 is: 162,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,796 : 75,133 = 75,133 : x
  2. Step 2: Convert to fraction form
    34,796/75,133 = 75,133/x
  3. Step 3: Cross multiply
    34,796x = 75,133 × 75,133
  4. Step 4: Simplify right side
    34,796x = 5,644,967,689
  5. Step 5: Solve for x
    x = 5,644,967,689/34,796
  6. Step 6: Final answer
    x = 162,230.36

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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.