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Finding the Third Proportional to 34,765 and 75,905

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Solution

The third proportional to 34,765 and 75,905 is: 165,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765 : 75,905 = 75,905 : x
  2. Step 2: Convert to fraction form
    34,765/75,905 = 75,905/x
  3. Step 3: Cross multiply
    34,765x = 75,905 × 75,905
  4. Step 4: Simplify right side
    34,765x = 5,761,569,025
  5. Step 5: Solve for x
    x = 5,761,569,025/34,765
  6. Step 6: Final answer
    x = 165,729.01

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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.