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Finding the Third Proportional to 64,690.25 and 141,449.50

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Solution

The third proportional to 64,690.25 and 141,449.50 is: 309,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,690.25 : 141,449.50 = 141,449.50 : x
  2. Step 2: Convert to fraction form
    64,690.25/141,449.50 = 141,449.50/x
  3. Step 3: Cross multiply
    64,690.25x = 141,449.50 × 141,449.50
  4. Step 4: Simplify right side
    64,690.25x = 20,007,961,050.25
  5. Step 5: Solve for x
    x = 20,007,961,050.25/64,690.25
  6. Step 6: Final answer
    x = 309,288.66

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