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Finding the Third Proportional to 90,778.50 and 144,414

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Solution

The third proportional to 90,778.50 and 144,414 is: 229,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,778.50 : 144,414 = 144,414 : x
  2. Step 2: Convert to fraction form
    90,778.50/144,414 = 144,414/x
  3. Step 3: Cross multiply
    90,778.50x = 144,414 × 144,414
  4. Step 4: Simplify right side
    90,778.50x = 20,855,403,396
  5. Step 5: Solve for x
    x = 20,855,403,396/90,778.50
  6. Step 6: Final answer
    x = 229,739.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.