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Finding the Third Proportional to 87,756.75 and 144,150

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Solution

The third proportional to 87,756.75 and 144,150 is: 236,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,756.75 : 144,150 = 144,150 : x
  2. Step 2: Convert to fraction form
    87,756.75/144,150 = 144,150/x
  3. Step 3: Cross multiply
    87,756.75x = 144,150 × 144,150
  4. Step 4: Simplify right side
    87,756.75x = 20,779,222,500
  5. Step 5: Solve for x
    x = 20,779,222,500/87,756.75
  6. Step 6: Final answer
    x = 236,782.04

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.