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Finding the Third Proportional to 90,135.50 and 141,389.75

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Solution

The third proportional to 90,135.50 and 141,389.75 is: 221,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,135.50 : 141,389.75 = 141,389.75 : x
  2. Step 2: Convert to fraction form
    90,135.50/141,389.75 = 141,389.75/x
  3. Step 3: Cross multiply
    90,135.50x = 141,389.75 × 141,389.75
  4. Step 4: Simplify right side
    90,135.50x = 19,991,061,405.06
  5. Step 5: Solve for x
    x = 19,991,061,405.06/90,135.50
  6. Step 6: Final answer
    x = 221,788.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.