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Finding the Third Proportional to 65,758.50 and 143,821.75

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Solution

The third proportional to 65,758.50 and 143,821.75 is: 314,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,758.50 : 143,821.75 = 143,821.75 : x
  2. Step 2: Convert to fraction form
    65,758.50/143,821.75 = 143,821.75/x
  3. Step 3: Cross multiply
    65,758.50x = 143,821.75 × 143,821.75
  4. Step 4: Simplify right side
    65,758.50x = 20,684,695,773.06
  5. Step 5: Solve for x
    x = 20,684,695,773.06/65,758.50
  6. Step 6: Final answer
    x = 314,555.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.