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Finding the Third Proportional to 34,526 and 73,968

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Solution

The third proportional to 34,526 and 73,968 is: 158,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,526 : 73,968 = 73,968 : x
  2. Step 2: Convert to fraction form
    34,526/73,968 = 73,968/x
  3. Step 3: Cross multiply
    34,526x = 73,968 × 73,968
  4. Step 4: Simplify right side
    34,526x = 5,471,265,024
  5. Step 5: Solve for x
    x = 5,471,265,024/34,526
  6. Step 6: Final answer
    x = 158,467.97

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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.