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Finding the Third Proportional to 34,610 and 75,295

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Solution

The third proportional to 34,610 and 75,295 is: 163,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610 : 75,295 = 75,295 : x
  2. Step 2: Convert to fraction form
    34,610/75,295 = 75,295/x
  3. Step 3: Cross multiply
    34,610x = 75,295 × 75,295
  4. Step 4: Simplify right side
    34,610x = 5,669,337,025
  5. Step 5: Solve for x
    x = 5,669,337,025/34,610
  6. Step 6: Final answer
    x = 163,806.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.