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Finding the Third Proportional to 67,263.25 and 141,497.50

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Solution

The third proportional to 67,263.25 and 141,497.50 is: 297,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,263.25 : 141,497.50 = 141,497.50 : x
  2. Step 2: Convert to fraction form
    67,263.25/141,497.50 = 141,497.50/x
  3. Step 3: Cross multiply
    67,263.25x = 141,497.50 × 141,497.50
  4. Step 4: Simplify right side
    67,263.25x = 20,021,542,506.25
  5. Step 5: Solve for x
    x = 20,021,542,506.25/67,263.25
  6. Step 6: Final answer
    x = 297,659.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.