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Finding the Third Proportional to 65,719.50 and 101,949.75

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Solution

The third proportional to 65,719.50 and 101,949.75 is: 158,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,719.50 : 101,949.75 = 101,949.75 : x
  2. Step 2: Convert to fraction form
    65,719.50/101,949.75 = 101,949.75/x
  3. Step 3: Cross multiply
    65,719.50x = 101,949.75 × 101,949.75
  4. Step 4: Simplify right side
    65,719.50x = 10,393,751,525.06
  5. Step 5: Solve for x
    x = 10,393,751,525.06/65,719.50
  6. Step 6: Final answer
    x = 158,153.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.