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Finding the Third Proportional to 63,296.50 and 135,065

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Solution

The third proportional to 63,296.50 and 135,065 is: 288,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,296.50 : 135,065 = 135,065 : x
  2. Step 2: Convert to fraction form
    63,296.50/135,065 = 135,065/x
  3. Step 3: Cross multiply
    63,296.50x = 135,065 × 135,065
  4. Step 4: Simplify right side
    63,296.50x = 18,242,554,225
  5. Step 5: Solve for x
    x = 18,242,554,225/63,296.50
  6. Step 6: Final answer
    x = 288,207.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.