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Finding the Third Proportional to 90,734.50 and 141,022.50

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Solution

The third proportional to 90,734.50 and 141,022.50 is: 219,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,734.50 : 141,022.50 = 141,022.50 : x
  2. Step 2: Convert to fraction form
    90,734.50/141,022.50 = 141,022.50/x
  3. Step 3: Cross multiply
    90,734.50x = 141,022.50 × 141,022.50
  4. Step 4: Simplify right side
    90,734.50x = 19,887,345,506.25
  5. Step 5: Solve for x
    x = 19,887,345,506.25/90,734.50
  6. Step 6: Final answer
    x = 219,181.74

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